Seminario di analisi matematica
ore
10:00
presso Seminario II
We consider a model of non-isothermal phase separationtaking
place in a confined container. The order parameter is governed by a
viscous or nonviscous Cahn-Hilliard type equation which is coupled
with a heat equation for the temperature . The former is subject to a
nonlinear dynamic boundary condition recently proposed by physicists to
account for interactions with the walls, while the latter is endowed with
a standard (Dirichlet, Neumann or Robin) boundary condition.
We analyze issues like well-posedness and the asymptotic behavior of the
solutions within the theory of infinite-dimensional dynamical systems
(that is, global and exponential attractors and their stability with
respect to some physical parameters). We also intend to present results
about convergence to equilibria.