Publications of Tommaso Ruggeri
Scientific Articles
1971
- Sulla Meccanica delle Microstrutture. Atti dell'Ist.
Veneto di Sc. Lett. ed Arti 129, pp. 253–274 (1971).
- Soluzioni lineari per la propagazione del calore in
fluidodinamica relativistica. In coll. con G. Boillat. Rend.
Acc. Naz. dei Lincei 51, Ser.8, (6); pp. 511–514 (1971).
1972
- Onde di tipo sismico in elelasticità antisimmetrica. Atti
dell'Ist. Veneto di Sc. Lett. ed Arti 130, pp. 253–274
(1972).
- Choc caracteristique dans les materiaux ferromagnetiques. Comptes
rendus de l'Acad. Sc. Paris 275-A; pp. 151–154 (1972).
1973
- Onde di discontinuità e condizioni di eccezionalità per
materiali ferromagneti. In coll. con A. Donato. Rend. Acc.
Naz. dei Lincei 53, Ser.8, (3,4); pp. 287–294 (1973).
- Sulla propagazione di onde elettromagnetiche di discontinuità
in mezzi non lineari. Rend. Ist. Lombardo 107-A; pp.
283–297 (1973).
- Sulla propagazione delle onde di discontinuità per continui
polari con deformazioni finite. Atti dell'Ist. Veneto di Sc.
Lett. ed Arti 131, pp. 155–165 (1973).
- Su una naturale estensione a tre variabili dell'equazione di
Monge-Ampere. Rend. Acc. Naz. dei Lincei 55, (5); pp.
445–449 (1973).
1974
- The Klein-Gordon equation as a limiting case of a suitable
hyperbolized Schroedinger equation. In coll. con F. Borghese, P.
Denti. Int. Journal of Theor. Phys. 9, n.1; pp. 55–58
(1974).
- On some properties of electromagnetic shock waves in isotropic
non linear materials. Boll. Unione Mat. Italiana 9, (4);
pp. 513–522 (1974).
- Su alcune classi di potenziali termodinamici come conseguenza
dell'esistenza di particolari onde di discontinuità nella
meccanica dei continui con deformazioni finite. In coll. con G.
Boillat. Rend. Sem. Padova 51; pp. 293–304 (1974).
1975
- Astatic coordinates and inequalities in Cosserat's continuum.
Rend. Acc. Naz. dei Lincei 58, (3); pp. 385–393 (1975).
- Su un possibile moto intorno al baricentro di un satellite
artificiale nel campo newtoniano. Estr. Atti e memorie
dell'Acc. Patavina di Sc. Lettere ed Arti LXXXVII, (II);
(1974–1975).
1977
- Onde di discontinuità ed equazioni costitutive nei corpi
elastici isotropi sottoposti a deformazioni finite. Annali
di Mat. Pura e Applicata (IX) 112, pp. 315–322 (1977).
1978
- Characteristic shocks: completely and strictly exceptional
systems. In coll. con G. Boillat. Boll. Unione Mat. Italiana
15-A, (5); pp. 197–204 (1978).
- Euler-Lagrange hyperbolic systems of the second order and
relativistic strings. Lett. al Nuovo Cimento 22, (2) pp.
69–75 (1978).
- Exceptional waves and characteristics shocks on nonlinear
relativistic strings. In coll. con A. Strumia. Progress of
Theoretical Physics 59 (6), pp. 2121–2132 (1978).
- Problems on gravitational collapse of interstellar gas clouds
– caustic and critical times for a one-dimensional hydrodynamic
model. In coll. con F. Ferraioli, N. Virgopia. Astrophysics
and Space Sciences 56, pp. 303–321 (1978).
- Euler equations for nonlinear relativistic strings:
Introduction of a new Lagrangian. In coll. con G. Boillat. Progress
of Theoretical Physics 60 (6), pp. 1928–1930 (1978).
1979
- Reflection and transmission of discontinuity waves through a
shock wave. General theory including also the case of
characteristic shocks. In coll. con G. Boillat. Proceedings
of the Royal Soc. of Edinburgh 83-A, pp. 17–24 (1979).
- On the evolution law of the weak discontinuities for
hyperbolic quasi-linear systems. In coll. con G. Boillat. Wave
Motion 1, (2), pp. 149–152 (1979).
- Sulla integrazione di un sistema iperbolico quasilineare di
due equazioni in due variabili indipendenti completamente
eccezionale. Rivista Mat. Univ. Parma 5, (4) (1979).
- Limite de la vitesse des chocs dans les champs a densitè
d'energie convexe. In coll. con G. Boillat. Comptes rendus
de l'Acad. Sc. Paris 289-A; pp. 257–258 (1979).
1980
- Interaction between a discontinuity wave and a shock wave:
Critical time for the fastest transmitted wave, example of the
polytropic fluid. Applicable Analysis 11; pp. 103–112
(1980).
- Symmetric form of non linear mechanics equations and entropy
growth across a shock. In coll. con G. Boillat. Acta
Mechanica 35; pp. 271–274 (1980).
- Sulla forma conservativa di sistemi iperbolici quasi-lineari.
Caso dei gas ionizzati e della termofluidodinamica
relativistica. Rend. di Matematica 13, (2); pp. 223–234
(1980).
- Densità covariante convessa e sistemi iperbolici
quasi-lineari. In coll. con A. Strumia. Atti del 5 Convegno
AIMETA 1; pp. 225–231 (1980).
- Wave Propagation. Lezioni CIME, 1o ciclo giugno 1980.
Bressanone (1980).
1981
- Main field and convex covariant density for quasi-linear
hyperbolic systems. Relativistic fluid dynamics. In coll. con A.
Strumia. Ann. Inst. H. Poincaré 34; pp. 65–84 (1981).
- Convex covariant entropy density, symmetric conservative form,
and shock waves in relativistic magnetohydrodynamics. In coll.
con A. Strumia. J. Math. Phys. 22, (8); pp. 1824–1827
(1981).
- Propagazione Ondosa. Lezione tenute alla 6a Scuola estiva di
Fisica Matematica del C.N.R. Ravello, Settembre 1981 (1981).
1982
- Entropy principle and main field for a nonlinear covariant
system. Lecture Notes CIME 1980, Wave propagation; pp.
257–273. Liguori, Napoli (1982).
- Sistema iperbolico in forma simmetrica conservativa per le
equazioni di un fluido viscoso conduttore di calore. Atti
Convegno Onde e Stabilità, Catania (1982).
- Hyperbolicitè du système 3+1 des equations d'Einstein. In
coll. con Y. Choquet Bruhat. Comptes Rendus de l'Acad. Sc.
Paris 294-I, (12); pp. 425–429 (1982).
- Generators of hyperbolic heat equation in nonlinear
thermoelasticity. Rend. Sem. Mat. Padova 68; pp. 79–91
(1982).
- Interazione tra un'onda di discontinuità ed una sequenza di
urti di contatto in un fluido politropico. In coll. con M.
Cannarozzi. Nota tecnica n. 62, I.S.C.B. (1982).
1983
- Symmetric hyperbolic system of conservative equations for a
viscous conducting fluid. Acta Mechanica 47; pp. 167–183
(1983).
- Hyperbolicity of the 3+1 system of Einstein equations. In
coll. con Y. Choquet Bruhat. Comm. Math. Phys. 89; pp.
269–275 (1983).
- Temporal gauge in general relativity. In coll. con Y. Choquet
Bruhat. Proc. 3d Marcel Grossmann Meeting. Science Press
and North-Holland (1983).
1984
- Equazioni costitutive per continui fluidi e onde d'urto. Atti
Convegno Dinamica dei Continui Fluidi e dei Gas ionizzati,
Trieste (1984).
- Entropy principle, symmetric hyperbolic systems and shock
waves. Proc. Wave phenomena: Modern theory and applications.
North-Holland (1984).
- Propagazione del calore ed equazioni costitutive. In coll. con
A. Morro. Quad. C.N.R., Pitagora-Tecnoprint, Bologna
(1984).
1985
- Struttura dei sistemi alle derivate parziali compatibili con
un principio di entropia e termodinamica estesa. Suppl.
Boll. U.M.I. 4-5; pp. 261–279 (1985).
- Conservation laws and symmetric hyperbolic systems for a
thermoviscous fluid. Lecture Notes in Physics 228; pp.
232–250. Springer (1985).
- Non linear extended thermodynamics of relativistic fluid and
hyperbolic systems with a convex extension. Workshop
Mathematical aspects of Fluid and Plasma dynamics, Trieste
(1985).
- Termodinamica estesa di un gas relativistico. Conferenze
del Seminario di Matematica dell'Università di Bari 204;
pp. 1–13 (1985).
- A Reciprocal Bäcklund transformation: Application to a
Non-linear Hyperbolic Model in heat conduction. In coll. con C.
Rogers. Lettere al Nuovo Cimento 44 (5), pp. 289–296
(1985).
1986
- Relativistic thermodynamics of Gases. In coll. con I-S. Liu,
I. Mueller. Annals of Physics 169, 1 pp. 191–219 (1986).
- Su un modello iperbolico per la termofluidodinamica del non
equilibrio. In coll. con A. Muracchini. Fisica Matematica
Suppl. B.U.M.I. 5, pp. 117–131 (1986).
- Extended Thermodynamics of Thermoelastic Solids. Atti del
Centro Linceo Interdisciplinare di Sc. Matematiche, pp.
189–217 (1986).
1987
- Second Sound and internal Energy in Solids. In coll. con A.
Morro. International J. of Non-linear Mechanics 22, (1),
pp. 27–36 (1987).
- Termodinamica e Sistemi Simmetrici Iperbolici. Convegno
U.M.I., Cagliari (1987).
- Mathematical Structure of the Extended Thermodynamics. ISIMM
Symposium on Kinetic Theory and Extended Thermodynamics,
Bologna. Ed. I. Mueller e T. Ruggeri, pp. 279–293.
Pitagora Tecnoprint (1987).
- Spatially inhomogeneous evolution problems in Kinetic Theory.
In coll. con V. Boffi. ISIMM Symposium, Bologna. pp.
41–54. Pitagora Tecnoprint (1987).
- Stability and Non Linear Wave Propagation for Symmetric
Hyperbolic Systems. Atti Italian-Polish Meeting, Bologna
(1987).
1988
- Non equilibrium properties of Solids through second Sound
measurements. In coll. con A. Morro. J. of Physics C: Solid
State Phys. 21, pp. 1743–1752 (1988).
- Thermodynamics and Symmetric Hyperbolic Systems. Rend.
Sem. Mat. Univ. Pol. Torino. Fascicolo Speciale (1988).
1989
- Galilean Invariance and Entropy Principle for Systems of
Balance Laws. The Structure of the Extended Thermodynamics. Continuum
Mech. Thermodyn. 1, pp. 3–20 (1989).
- Wave and Shock Velocities in Relativistic Magnetohydrodynamics
compared with the Speed of Light. In coll. con G. Boillat. Continuum
Mech. Thermodyn. 1, pp. 47–52 (1989).
- Acceleration Waves, Shock formation and Stability in a
Gravitational Atmosphere. In coll. con A. Muracchini. Astrophysics
and Space Sciences 153, pp. 127–142 (1989).
- Stability and Discontinuity Waves for Symmetric Hyperbolic
Systems. In Non-linear Wave Motion. Ed. A. Jeffrey.
Longman Press (1989).
- Relativistic Extended Thermodynamics. Lecture Notes in
Mathematics 1385. Springer (1989).
- Hyperbolicity and Wave propagation in Extended Thermodynamics.
In coll. con L. Seccia. Meccanica 24 (3), pp. 127–138
(1989).
1990
- Shock Waves and Second Sound in a Rigid Heat conductor. A
critical temperature for NaF and Bi. In coll. con A. Muracchini,
L. Seccia. Phys. Rev. Lett. 64, n.22, pp. 2640–2643
(1990).
- Convexity and Symmetrization in Relativistic Theories. Continuum
Mech. Thermodyn. 2, pp. 163–177 (1990).
- Shock Waves and Second Sound in Crystals of NaF and Bi at Low
Temperature. Mod. Phys. Lett. B 4, n.15, pp. 945–947
(1990).
1991
- Cattaneo Equation and Relativistic Extended Thermodynamics. Simposio
Internazionale in Memoria di Carlo Cattaneo. Bibliopolis
(1991).
- Continui Polari come caso particolare di una Termodinamica
Estesa Relativistica. Atti Accad. Peloritana (1991).
- Una osservazione sulla risoluzione di equazioni lineari con il
metodo di Cimmino. In coll. con L. Caprioli. Atti Accad.
Peloritana (1991).
- Macroscopic Approach to Strongly Degenerate Gases via Extended
Thermodynamics. Convegno Linceo Macroscopic Theory of
Superfluidity. Cambridge Press (1991).
- Heat Shocks in a Rigid Conductor. In coll. con A. Muracchini,
L. Seccia. Nonlinear waves and dissipative effects
(Pitman Research Notes 227). Longman Press (1991).
- Shock Waves in Hyperbolic Dissipative Systems: Non Equilibrium
Gases. Euromech Colloquium 270. Longman Press (1991).
- Phonon Gas and Changes of Shape of Second Sound Wave. Le
Matematiche 46 (1), pp. 379–391 (1991).
- Thermodynamically consistent rate-type constitutive equations
for the diffusive mass flux. In coll. con G. Camera-Roda, F.
Doghieri, G.C. Sarti. Pitman Research Notes 227. Longman
Press (1991).
1992
- Shocks and Changes of Shape of Second Sound Signals in a Rigid
Heat Conductor. Italian-Polish Meeting on Thermodynamics and
Kinetic Theory. World Scientific (1991/1992).
- Dispersion Relation in High Frequency Limit and non Linear
Wave Stability for Hyperbolic Dissipative Systems. In coll. con
A. Muracchini, L. Seccia. Wave Motion 15, (2), pp.
143–158 (1992).
- Balance Laws Systems and Non Equilibrium Thermodynamics. Series
on Adv. in Math. for Appl. Sci. 9, pp. 223–241. World
Scientific (1992).
1993
- Breakdown of Shock Wave Structure Solutions. Phys. Rev. E
47, (6), pp. 4135–4140 (1993).
- Universal principles for balance law systems. Proc. Fourth
International Conference on Hyperbolic Problems, Taormina
(1993).
1994
- Convexity and Symmetrization in Classical and Relativistic
Balance Laws Systems. Mathematical Physics Studies 15.
Kluwer (1994).
- A Continuum Approach to Phonon Gas and Shape Changes of Second
Sound via Shock Waves Theory. In coll. con A. Muracchini, L.
Seccia. Nuovo Cimento D 16, 1, pp. 15–44 (1994).
- Extended Thermodynamics with Eight Fields. Bulletin of the
Technical University of Istanbul 47, n.3, pp. 161–170
(1994).
1995
- Recent Results on Wave Propagation in Continuum Models. CISM
Courses and Lectures 344, pp. 105–154. Springer (1995).
- Non Existence of Shock Structure Solutions for Hyperbolic
Dissipative Systems Including Characteristic Shocks. Applicable
Analysis 57, pp. 23–33 (1995).
1996
- Second Sound and Characteristic Temperature in Solids. In
coll. con A. Muracchini, L. Seccia. Phys. Rev. B 54,
(1), pp. 332–339 (1996).
- On the Shock Structure Problem in Non-Equilibrium
Thermodynamics of Gases. Transport Theory and Stat. Phys.
25 (3-5), pp. 567–574 (1996).
- Simple Heat Waves in Solids. In coll. con A. Muracchini, L.
Seccia. Suppl. Rend. Circ. Mat. Palermo II, n.45 (1996).
- Hyperbolic Principal Subsystems. Suppl. Rend. Circ. Mat.
Palermo II, n.45 (1996).
1997
- Hyperbolic Principal Subsystems: Entropy Convexity and
Subcharacteristic Conditions. In coll. con G. Boillat. Arch.
Rat. Mech. Anal. 137, pp. 305–320 (1997).
- Moment Equations in the Kinetic Theory of Gases and Wave
Velocities. In coll. con G. Boillat. Cont. Mech. Thermodyn.
9, pp. 205–212 (1997).
1998
- On the Shock Structure Problem for Hyperbolic System of
Balance Laws and Convex Entropy. In coll. con G. Boillat. Cont.
Mech. Thermodyn. 10, pp. 285–292 (1998).
1999
- Maximum Wave Velocity in the Moments System of a Relativistic
Gas. In coll. con G. Boillat. Cont. Mech. Thermodyn. 11,
pp. 107–111 (1999).
- Maximum Velocity for Wave propagation in a Relativistic
Rarefied Gas. In coll. con F. Brini. Cont. Mech. Thermodyn.
11, pp. 331–338 (1999).
- Relativistic Gas: Moment Equations and Maximum Wave Velocity.
In coll. con G. Boillat. J. Math. Phys. 40, No.12, pp.
6399–6404 (1999).
2000
- Temperature jumps at the boundary of a rarefied gas. In coll.
con J. Au, I. Mueller. Cont. Mech. Thermodyn. 12, 1, pp.
19–29 (2000).
- Similarity Solutions and Strong Shocks in Extended
Thermodynamics of Rarefied Gas. In coll. con A. Donato. J.
Math. Anal. and Appl. 251, pp. 395–405 (2000).
- Maximum of Entropy Density in Equilibrium and Minimax
Principle for an Hyperbolic System of Balance Laws. WIAS-Report
No. 18 (2000).
2001
- The Binary Mixtures of Euler Fluids: a Unified Theory of
Second Sound Phenomena. In Continuum mechanics and
applications in geophysics and the environment. Springer
(2001).
2002
- Entropy Principle for the Moment Systems of degree a
associated to the Boltzmann Equation. Critical Derivatives and
Non Controllable Boundary Data. In coll. con F. Brini. Cont.
Mech. Thermodyn. 14, 2, pp. 165–189 (2002).
- Entropy Principle and Non Controllable Data for the Moment
Systems. In coll. con F. Brini. Proc. WASCOM 2001. World
Scientific (2002).
- Second Sound Propagation in Superfluid Helium via Extended
Thermodynamics. In coll. con A. Muracchini, L. Seccia. Proc.
WASCOM 2001. World Scientific (2002).
2003
- Hamiltonian principle in the binary mixtures of Euler fluids
with applications to the second sound phenomena. In coll. con H.
Gouin. Rend. Mat. Acc. Lincei s.9, 14, pp. 69–83 (2003).
- Entropy Production and Admissibility of Shocks. In coll. con
T.-P. Liu. Acta Math. Appl. Sin. 19, No.1, pp. 1–12
(2003).
- New results and open problems in extended relativistic
thermodynamics. Advance in General Relativity and Cosmology,
Isola d'Elba (2003).
2004
- Non linear Wave Propagation in Binary Mixtures of Euler
Fluids. In coll. con S. Simic. Cont. Mech. Thermodyn.
16, pp. 125–148 (2004).
- Stability of Constant Equilibrium State for Dissipative
Balance Laws System with a Convex Entropy. In coll. con D.
Serre. Quart. of. Appl. Math. 62, (1), pp. 163–179
(2004).
- Stationary Heat Conduction in Radially Symmetric Situations.
In coll. con I. Mueller. J. Non Newtonian Fluid Mech.
119, pp. 139–143 (2004).
- Hyperbolicity in Extended Thermodynamics of Fermi and Bose
Gases. In coll. con M. Trovato. Continuum Mech. Thermodyn.
16 (6), pp. 551–576 (2004).
- Energy momentum, wave velocities and characteristic shocks in
Euler's variational equations with application to the
Born–Infeld theory. In coll. con G. Boillat. J. Math. Phys.
45 (9), pp. 3468–3478 (2004).
- Entropy principle and Relativistic Extended Thermodynamics:
Global existence of smooth solutions and stability of
equilibrium state. Il Nuovo Cimento B 119, pp. 809–821
(2004).
2005
- Global existence of smooth solutions and stability of constant
state for dissipative Hyperbolic Systems with applications to
the Extended Thermodynamics. STAMM 2002, pp. 215–224.
Springer (2005).
- The Entropy Principle: from Continuum Mechanics to Hyperbolic
Systems of Balance Laws. Bollettino dell'Unione Matematica
Italiana (8) 8-B, pp. 1–20 (2005).
- Hyperbolicity, convexity and shock waves in one-dimensional
crystalline solids. In coll. con M. Sugiyama. J. Phys. A:
Math Gen. 38, pp. 4337–4347 (2005).
- Mixtures of fluids involving entropy gradients and
acceleration waves in interfacial layers. In coll. con H. Gouin.
Eur. J. Mech. B/Fluids 24 (5), pp. 596–613 (2005).
2006
- On the Riemann Problem with Structure in Extended
Thermodynamics. In coll. con F. Brini. Suppl. Rend. Circ.
Mat. Palermo II (78), pp. 31–44 (2006).
- Acceleration Waves and Weak Shizuta-Kawashima Condition. In
coll. con J. Lou. Rend. Circ. Mat. Palermo II (78), pp.
187–200 (2006).
- Asymptotic Behavior of Riemann and Riemann with Structure
Problems for a 2×2 Hyperbolic Dissipative System. In coll. con
A. Mentrelli. Rend. Circ. Mat. Palermo II (78), pp.
201–226 (2006).
- Modeling Cancer in HIV-1 infected individuals: equilibria,
cycles and chaotic behavior. In coll. con J. Lou, C. Tebaldi. Mathematical
Biosciences and Engineering 3 (2), pp. 313–324 (2006).
- A new method to exploit the Entropy Principle and Galilean
invariance in the macroscopic approach of Extended
Thermodynamics. In coll. con S. Pennisi. Ricerche di
Matematica 55 (2), pp. 319–339 (2006).
- Mixtures of Euler's Fluids and Second Sound Propagation in
Superfluid Helium. In coll. con A. Muracchini, L. Seccia. ZAMP
57 (4), pp. 567–585 (2006).
2007
- On the Riemann Problem for a System of Balance Laws Modelling
a Reactive Gas Mixture. In coll. con F. Conforto, A. Jannelli,
R. Monaco. Physica A 373, pp. 67–87 (2007).
- On the Hyperbolic System of a Mixture of Eulerian Fluids: A
Comparison Between Single- and Multi-Temperature Models. In
coll. con S. Simić. Math. Methods in the Applied Sciences
30, pp. 827–849 (2007).
- Cycles and Chaotic Behavior in an AIDS-related Cancer Dynamic
Model in Vivo. In coll. con J. Lou, Z. Ma. Journal of
Biological Systems 15, pp. 149–168 (2007).
- A time delay model about AIDS-related cancer: equilibria,
cycles and chaotic behavior. In coll. con J. Lou. Ricerche
di Matematica 56, pp. 195–208 (2007).
2008
- Interaction between a shock and an acceleration wave in a
perfect gas for increasing shock strength. In coll. con A.
Mentrelli, M. Sugiyama, N. Zhao. Wave Motion 45, pp.
498–517 (2008).
- Phase transition induced by a shock wave in hard-sphere and
hard-disc systems. In coll. con N. Zhao, M. Sugiyama. J. of
Chemical Physics 129, 054506 (2008).
- Identification of average temperature and of a new dynamical
pressure in a multi-temperature mixture of fluids. In coll. con
H. Gouin. Phys. Rev. E 78, 016303 (2008).
- The Entropy Principle from continuum mechanics to hyperbolic
system of balance laws: The modern theory of Extended
Thermodynamics. Entropy 10, pp. 319–333 (2008).
2009
- Extended Relativistic Thermodynamics. In General
Relativity and the Einstein equations by Y. Choquet
Bruhat, pp. 334–340. Oxford Univ. Press (2009).
- The Hamilton Principle for Fluid Binary Mixtures with Two
Temperatures. In coll. con H. Gouin. Bollettino U.M.I.
IX, Vol. II, N.2, pp. 403–422 (2009).
- Heat Conduction in multi-temperature mixture of fluids: the
role of the average temperature. In coll. con J. Lou. Phys.
Letters A 373, pp. 3052–3055 (2009).
- Average Temperature and Maxwellian Iteration in
Multi-temperature Mixtures of Fluids. In coll. con S. Simic. Phys.
Rev. E 80, 026317 (2009).
- Multi-temperature mixture of Fluids. Theoret. Appl. Mech.
36, No.3, pp. 207–238 (2009).
- Second sound and multiple shocks in superfluid helium. In
coll. con A. Muracchini, L. Seccia. ZAMP 60, pp.
1074–1094 (2009).
- An impulsive differential model on post exposure prophylaxis
to HIV-1 exposed individual. In coll. con J. Lou, L. Chen. Journal
of Biological Systems 17, (4) (2009).
2010
- Applications of a Bäcklund transformation in nonlinear
elastodynamics. In coll. con C. Rogers, W.K. Schief, A.
Mentrelli. Proc. WASCOM 2009. World Scientific (2010).
- Shock-Induced Phase Transition in Systems of Hard Spheres with
Internal Degrees of Freedom. In coll. con S. Taniguchi, N. Zhao,
A. Mentrelli, M. Sugiyama. Phys. Rev. E 81, 066307
(2010).
- Non-polytropic effect on shock-induced phase transitions in a
hard-sphere system. In coll. con Y. Zheng, N. Zhao, M. Sugiyama,
S. Taniguchi. Physics Letters A, pp. 3315–3318 (2010).
- Prediction and simulation of compressive shocks with lower
perturbed density for increasing shock strength in real gases.
In coll. con S. Taniguchi, A. Mentrelli, M. Sugiyama, N. Zhao. Phys.
Rev. E 82, 036324 (2010).
2011
- Admissible shock waves and shock-induced phase transitions in
a van der Waals fluid. In coll. con N. Zhao, A. Mentrelli, M.
Sugiyama. Physics of Fluids 23, 086101 (2011).
2012
- Travelling waves near a critical point of binary fluid
mixture. In coll. con H. Gouin, A. Muracchini. International
Journal of Non-Linear Mechanics 47, pp. 77–84 (2012).
- Extended Thermodynamics of dense gases. In coll. con T. Arima,
S. Taniguchi, M. Sugiyama. Continuum Mech. Thermodyn.
24, pp. 271–292 (2012).
- A consistent thermodynamical model of incompressible media as
limit case of quasi-thermal-incompressible materials. In coll.
con H. Gouin. International Journal of Non-Linear Mechanics
47, pp. 688–693 (2012).
- On the Mueller paradox for thermal incompressible media. In
coll. con H. Gouin, A. Muracchini. Continuum Mech.
Thermodyn. 24, pp. 505–513 (2012).
- Can Constitutive Relations be represented by non-local
equations? Quart. Appl. Math. 70, pp. 597–611 (2012).
- Extended thermodynamics of real gases with dynamic pressure:
an extension of Meixner's theory. In coll. con T. Arima, S.
Taniguchi, M. Sugiyama. Physics Letters A 376, pp.
2799–2803 (2012).
- Local Constitutive Equations, Extended Thermodynamics and
Maxwellian Iteration. Note Mat. 32, pp. 193–204 (2012).
2013
- Dispersion relation for sound in rarefied polyatomic gases
based on extended thermodynamics. In coll. con T. Arima, S.
Taniguchi, M. Sugiyama. Continuum Mech. Thermodyn. 25,
pp. 727–737 (2013).
- Maximum entropy principle for rarefied polyatomic gases. In
coll. con M. Pavic, S. Simic. Physica A 392, pp.
1302–1317 (2013).
- The Riemann problem for a hyperbolic model of incompressible
fluids. In coll. con A. Mentrelli. International Journal of
Non-Linear Mechanics 51, pp. 87–96 (2013).
- Monatomic Rarefied Gas as a Singular Limit of Polyatomic Gas
in Extended Thermodynamics. In coll. con T. Arima, S. Taniguchi,
M. Sugiyama. Physics Letters A 377, pp. 2136–2140
(2013).
2014
- Thermodynamic theory of the shock wave structure in a rarefied
polyatomic gas: Beyond the Bethe-Teller theory. In coll. con T.
Arima, S. Taniguchi, M. Sugiyama. Physical Review E 89,
013025 (2014).
- Effect of the dynamic pressure on the shock wave structure in
a rarefied polyatomic gas. In coll. con T. Arima, S. Taniguchi,
M. Sugiyama. Physics of Fluids 26, 016103 (2014).
- On the six-field model of fluids based on extended
thermodynamics. In coll. con T. Arima, S. Taniguchi, M.
Sugiyama. Meccanica (2014).
- Entropy principle and recent results in non-equilibrium
theories. In coll. con V.A. Cimmelli, D. Jou, P. Ván. Entropy
16, pp. 1756–1807 (2014).
- Molecular extended thermodynamics of rarefied polyatomic gases
and wave velocities for increasing number of moments. In coll.
con T. Arima, A. Mentrelli. Annals of Physics (2014).
- Dispersion relation in the limit of high frequency for a
hyperbolic system with multiple eigenvalues. In coll. con Z.
Banach, W. Larecki. Wave Motion (2014).
- Recent Developments in Extended Thermodynamics of Dense and
Rarefied Polyatomic Gases. In coll. con M. Sugiyama. Acta
Applicandae Mathematicae (2014).
- Shock wave structure in a rarefied polyatomic gas based on
extended thermodynamics. In coll. con T. Arima, S. Taniguchi, M.
Sugiyama. Acta Applicandae Mathematicae (2014).
- A study of linear waves based on extended thermodynamics for
rarefied polyatomic gases. In coll. con T. Arima, S. Taniguchi,
M. Sugiyama. Acta Appl. Math. (2014).
- The Propagation of Shock Waves in Incompressible Fluids: The
Case of Freshwater. In coll. con A. Mentrelli. Acta Appl.
Math. (2014).
- The Lagrangian view-point compared with the Eulerian one, in
the framework of Extended Thermodynamics. In coll. con M.C.
Carrisi, S. Pennisi. Acta Appl. Math. (2014).
- Q-Gaussian Integrable Hamiltonian Reductions in Anisentropic
Gasdynamics. In coll. con C. Rogers. Discrete and Continuous
Dynamical Systems B 19, pp. 2297–2312 (2014).
- The Bénard problem for quasi-thermal-incompressible materials:
a linear analysis. In coll. con A. Passerini. International
Journal of Non-Linear Mechanics 67, pp. 178–185 (2014).
- Shock structure and temperature overshoot in macroscopic
multi-temperature model of mixtures. In coll. con D. Madjarevic,
S. Simic. Physics of Fluids 26, 106102 (2014).
- Extended Thermodynamics of rarefied polyatomic gases and
characteristic velocities. In coll. con A. Mentrelli, T. Arima.
Rend. Lincei Mat. Appl. 25, pp. 275–291 (2014).
2015
- Nonlinear extended thermodynamics of real gases with 6 fields.
In coll. con T. Arima, S. Taniguchi, M. Sugiyama. IJNM
(2015).
- Extended thermodynamics of dense gases in the presence of
dynamic pressure. In coll. con M.C. Carrisi, S. Pennisi, M.
Sugiyama. Ricerche Mat. 64, pp. 403–419 (2015).
- Principio di Entropia, Sistemi Simmetrici Iperbolici e
Termodinamica Estesa. Quaderni UMI 55, pp. 137–150.
Mograf, Bologna (2015).
2016
- Overshoot of the nonequilibrium temperature in the shock wave
structure of a rarefied polyatomic gas subject to the dynamic
pressure. In coll. con T. Arima, S. Taniguchi, M. Sugiyama. International
Journal of Non-Linear Mechanics 79, pp. 66–75 (2016).
- Non-Linear Maximum Entropy Principle for a Polyatomic Gas
subject to the Dynamic Pressure. Bulletin of the Institute
of Mathematics Academia Sinica (New Series) 11, No.1, pp.
1–22 (2016).
- Monatomic gas as a singular limit of polyatomic gas in
molecular extended thermodynamics with many moments. In coll.
con T. Arima, S. Taniguchi, M. Sugiyama. Annals of Physics
372, pp. 83–109 (2016).
- Recent results on nonlinear extended thermodynamics of real
gases with six fields Part I: General Theory. In coll. con T.
Arima, M. Sugiyama, S. Taniguchi. Ricerche mat. 65, pp.
263–277 (2016).
- Recent results on nonlinear extended thermodynamics of real
gases with six fields Part II: Shock wave structure. In coll.
con S. Taniguchi, T. Arima, M. Sugiyama. Ricerche mat.
65, pp. 279–288 (2016).
2017
- Molecular extended thermodynamics: Comparison between rarefied
polyatomic and monatomic gas closures. In coll. con T. Arima, M.
Sugiyama, S. Taniguchi. Ricerche di Mat. 66, pp. 221–231
(2017).
- Sub-Shock formation in Eulerian mixture of fluids with
multi-temperature. In coll. con A. Mentrelli, F. Conforto. Ricerche
di Matem. 66 (2017).
- Non-Equilibrium Diffusion Temperatures in Mixture of Gases via
Maxwellian Iteration. In coll. con S. Simic. Ricerche di
Matem. 66, pp. 1–13 (2017).
- A thermodynamic consistent model for emergent behavior in
Flocks and comparison with multitemperature mixture of fluids.
In coll. con S-Y. Ha. Arch. Rational Mech. Anal. 223,
pp. 1397–1425 (2017).
- Relativistic Extended Thermodynamics of Rarefied Polyatomic
Gases. In coll. con S. Pennisi. Annals of Physics 373,
pp. 414–445 (2017).
- Duality Principle from rarefied to dense gas and Extended
Thermodynamics with 6 fields. In coll. con T. Arima, M.
Sugiyama. Physical Review Fluids 2, 013401 (2017).
- Symmetric form for the hyperbolic-parabolic system of
fourth-gradient model for fluids. In coll. con H. Gouin. Ricerche
mat. (2017).
- Galilean Invariance and Entropy Principle for a System of
Balance Laws of Mixture Type. In coll. con T. Arima, M.
Sugiyama, S. Taniguchi. Cont. Mech. Thermodyn. 28, pp.
495–513 (2017).
- Rational Extended Thermodynamics of a Rarefied Polyatomic Gas
with Molecular Relaxation Processes. In coll. con T. Arima, M.
Sugiyama. Phys. Rev. E 96, 042143 (2017).
- New Frontiers in Non-Equilibrium Thermodynamics. Atti dei
Convegni Lincei 314, pp. 49–71. Bardi Edizioni (2017).
2018
- Dynamical pressure in a polyatomic gas: interplay between
kinetic theory and extended thermodynamics. In coll. con M.
Bisi, G. Spiga. Kinetic and related Models 11, (1), pp.
71–95 (2018).
- On the sub-shock formation in extended thermodynamics. In
coll. con S. Taniguchi. International Journal of Non-Linear
Mechanics 99, pp. 69–78 (2018).
- A Global Existence of classical solutions to the Hydrodynamics
Cucker-Smale model in presence of a Temperature Field. In coll.
con S-Y. Ha, J. Kim, C. Ho Min, X. Zhang. Analysis and
Applications 16, (6), pp. 757–805 (2018).
- Emergent Behaviors of Thermodynamic Cucker-Smale Particles. In
coll. con S-Y. Ha, J. Kim. SIAM J. Math. Anal. (2018).
- Extended Thermodynamics of Rarefied Polyatomic Gases: 15-Field
Theory Incorporating Relaxation Processes of Molecular Rotation
and Vibration. In coll. con T. Arima, M. Sugiyama. Entropy
20, 301 (2018).
- A New BGK Model for Relativistic Kinetic Theory of Monatomic
and Polyatomic Gases. In coll. con S. Pennisi. J. Phys.:
Conf. Ser. 1035, 012005 (2018).
- Fluid Mixtures in Nanotubes. In coll. con H. Gouin, A.
Muracchini. Physical Review E 97, 062152 (2018).
- Uniform Stability and Mean-Field limit of Thermodynamic
Cucker-Smale Model. In coll. con S-Y. Ha, J. Kim, C. Ho Min, X.
Zhang. Quarterly of Applied Mathematics (2018).
2019
- Ultrarelativistic limit of a Rarefied Gas with Internal
Structure. In coll. con S. Pennisi. Journal of Mathematical
Physics 59, 043102 (2019).
- Integrability properties for relativistic extended
thermodynamics of polyatomic gas. In coll. con M.C. Carrisi, S.
Pennisi. Ricerche mat. 68, pp. 57–73 (2019).
- A 2×2 simple model in which the sub-shock exists when the
shock velocity is slower than the maximum characteristic
velocity. In coll. con S. Taniguchi. Ricerche mat. 68,
pp. 119–129 (2019).
- Production Terms in Relativistic Extended Thermodynamics of
Gas with Internal Structure via a New BGK Model. In coll. con
M.C. Carrisi, S. Pennisi. Annals of Physics 405, pp.
298–307 (2019).
- Ultra-relativistic Limit of Extended Thermodynamics of
Rarefied Polyatomic gas. In coll. con S. Pennisi. Le
Matematiche 74, (2), pp. 369–395 (2019).
2020
- From the Relativistic Mixture of Gases to the Relativistic
Thermomechanical Cucker-Smale Flocking. In coll. con S-Y. Ha, J.
Kim. Arch. Rational Mech. Anal. 235, pp. 1661–1706
(2020).
- Second Order Approximation of Extended Thermodynamics of a
Monatomic Gas and Hyperbolicity Region. In coll. con F. Brini. Continuum
Mech. Thermodyn. 32, pp. 23–39 (2020).
- On Invariance in 1+1-Dimensional Isentropic Relativistic
Gasdynamics. In coll. con C. Rogers. Wave Motion 94,
102527 (2020).
- Rational extended thermodynamics: a link between kinetic
theory and continuum theory. In coll. con M. Sugiyama. Rendiconti
Lincei. Scienze Fisiche e Naturali 31, pp. 33–38 (2020).
- Classical limit of relativistic moments associated with
Boltzmann Chernikov equation: optimal choice of moments in
classical theory. In coll. con S. Pennisi. Journal of
Statistical Physics 179, pp. 231–246 (2020).
- Rational Extended Thermodynamics of Dense Polyatomic Gases
Incorporating Molecular Rotation and Vibration. In coll. con T.
Arima, M. Sugiyama. Phil. Trans. R. Soc. A 378, 20190176
(2020).
- Classical and ultrarelativistic limits of the Riemann problem
for the relativistic Euler fluid with Synge energy. In coll. con
Q. Xiao. Ricerche di Matematica (2020).
- Maximum Entropy Principle Closure for 14-Moment System for a
Non-Polytropic Gas. Ricerche di Matematica (2020).
- Hyperbolicity of first and second order extended
thermodynamics theory of polyatomic rarefied gases. In coll. con
F. Brini. International Journal of Non-Linear Mechanics
124, 103517 (2020).
- Emergent Behaviors of Thermodynamic Kuramoto Ensemble on a
Regular Ring Lattice. In coll. con S-Y. Ha, H. Park, W. Shim. Journal
of Statistical Physics 181, pp. 917–943 (2020).
- On relativistic gasdynamics. Invariance under a class of
reciprocal-type transformations and integrable Heisenberg spin
connections. In coll. con C. Rogers, W.K. Schief. Proceedings
of the Royal Society A (2020).
2021
- Nonlinear Hyperbolic Waves in Relativistic Gases of Massive
Particles with Synge Energy. In coll. con Q. Xiao, H. Zhao. Arch.
Rational Mech. Anal. 239, pp. 1061–1109 (2021).
- Shock Structure in Extended Thermodynamics with Second Order
Maximum Entropy Principle Closure. In coll. con A. Mentrelli. Continuum
Mech. Thermodyn. 33, pp. 125–150 (2021).
- Uniform Stability and Uniform-in-Time Mean-Field Limit of the
Thermodynamic Kuramoto Model. In coll. con S-Y. Ha, M. Kang, H.
Park, W. Shim. Quarterly of Applied Mathematics (2021).
- Molecular Extended Thermodynamics of Rarefied Polyatomic Gases
with a new Hierarchy of Moments. In coll. con T. Arima. Fluids
6, 62 (2021).
- Maxwellian Iteration of a Causal Relativistic Model of
Polyatomic Gases and evaluation of Bulk, Shear viscosity and
Heat conductivity. In coll. con M.C. Carrisi, S. Pennisi. Ann.
of Phys. 428, 168477 (2021).
- Emergent behaviors of the continuum thermodynamic Kuramoto
model in a large coupling regime. In coll. con S-Y. Ha, M. Kang,
H. Park, W. Shim. Journal of Differential Equations 300,
pp. 519–564 (2021).
- Kinetic and Hydrodynamic Models for the Relativistic
Cucker-Smale Ensemble and Emergent Dynamics. In coll. con S-Y.
Ha, J. Kim. Commun. Math. Sci. 19 (7), pp. 1945–1990
(2021).
- Shock Structure and Sub-shock Formation in a Binary Mixture of
Polyatomic Eulerian Gas. In coll. con S. Taniguchi. Rend.
Lincei Mat. Appl. 32, pp. 167–179 (2021).
- Which moments are appropriate to describe gases with internal
structure in Rational Extended Thermodynamics? In coll. con T.
Arima, M.C. Carrisi, S. Pennisi. International Journal of
Non-Linear Mechanics 137, 103820 (2021).
2022
- Relativistic Rational Extended Thermodynamics of Polyatomic
Gases with a New Hierarchy of Moments. In coll. con T. Arima,
M.C. Carrisi, S. Pennisi. Entropy 24, 43 (2022).
- On a Relativistic BGK Model for Polyatomic Gases near
Equilibrium. In coll. con B-H. Hwang, S-B. Yun. SIAM J.
Math. Anal. 54 (3), pp. 2906–2947 (2022).
- A Complete Classification of Sub-Shocks in a Shock Structure
of a Binary Mixture of Eulerian Gases with Different Degrees of
Freedom of a Molecule. In coll. con S. Taniguchi. Phys.
Fluids 066116 (2022).
- Relativistic Kinetic Theory of Polyatomic Gases: Classical
Limit of a New Hierarchy of Moments and Qualitative Analysis. In
coll. con T. Arima, M.C. Carrisi, S. Pennisi. Partial
Differ. Equ. Appl. 3, 39 (2022).
2023
- Navier-Stokes-Fourier equations as a parabolic limit of a
general hyperbolic system of rational extended thermodynamics.
In coll. con T. Arima, A. Mentrelli. Int. J. Non-Linear
Mechanics 151, 104379 (2023).
- Shock Structure and sub-shock formation in a mixture of
polyatomic gases with large bulk viscosity. In coll. con S.
Taniguchi. Ricerche di Matematica (2023).
- Eckart equations, Maxwellian iteration and relativistic causal
theories of divergence type. Phil. Trans. R. Soc. A 381,
20220371 (2023).
- Effect of the dynamic pressure on the shock structure and
sub-shocks formation in a mixture of polyatomic gases. In coll.
con S. Taniguchi. Comm. Appl. Math. and Comp. (2023).
2024
- A Nonlinear Approach to Viscoelasticity via Rational Extended
Thermodynamics. IJNLM (2024).
- Energy of a Non-linear Viscoelastic Model Compatible with
Fractional Relaxation. In coll. con A. Giusti, A. Mentrelli. JNLM
(2024).
- Hyperbolicity Region of a Rational Extended Thermodynamics
Model with 14 Moments for a Non-polytropic Gas. In coll. con F.
Brini. Proc. HYP 2022 XVIII Int. Conf. on Hyperbolic
Problems. Springer (2024).
- Dispersion relation of linear waves propagating in
three-dimensional space in Extended Thermodynamics of Polyatomic
Gases. In coll. con T. Arima, M. Sugiyama. Rivista di
Matematica di Parma 15 (2024).
- A Novel ES-BGK Model for Non-Polytropic Gases with Internal
State Density Independent of the Temperature. In coll. con T.
Arima, A. Mentrelli. J. Stat. Phys. 191, 95 (2024).
- On the Comparison Between Phenomenological and Kinetic
Theories of Gas Mixtures with Applications to Flocking. In coll.
con G-C. Bae, S-Y. Ha, G. Hwang. Physica D 469, 134321
(2024).
2025
- Stress Relaxation and Viscous Energy in Nonlinear
Viscoelasticity: a Rational Extended Thermodynamics Framework.
In coll. con M. Amabili, T. Arima. Journal of the Mechanics
and Physics of Solids (2025).
- The Taub Relativistic Gasdynamic System.
Chaplygin–Kármán–Tsien Laws and Substitution Principle. In coll.
con C. Rogers. Rend. Lincei Mat. Appl. 35, pp. 447–457
(2025).
- Flocking Dynamics and Optimal Classical Limit of the
Relativistic Cucker–Smale Model with Infinite Particles. In
coll. con S-Y. Ha, S. Lee, X. Wang, Q. Xiao (2025).
- The Maximum Entropy Principle in Nonequilibrium
Thermodynamics: A Brief History and the Contributions of
Wolfgang Dreyer. In coll. con T. Arima. Springer Vol.
dedicated to W. Dreyer (2025).
- Rational Extended Thermodynamics for Non-Newtonian Fluids with
Finite Relaxation Time. POF Letters (2025).
- Fifty Years of
Excellence: The Summer School of Mathematical Physics of the
National Group of Mathematical Physics. In coll. con G.
Saccomandi. arXiv:2509.17194 (2025).
2026
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Ultima modifica: aprile 2026