Prossimi seminari del Dipartimento di Matematica

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This talk is an introduction to the relationships among statistical mechanics, topology, the Jones polynomial, quantum invariants and Temperley-Lieb algebra that can be seen from the starting point of the bracket polynomial.

In this talk, we present a Virtual Element discretization for the steady motion of non-Newtonian, incompressible fluids. A specific stabilization, tailored to mimic the monotonicity and boundedness properties of the continuous operator, is introduced and theoretically investigated. The proposed method has several appealing features, including the exact enforcement of the divergence free condition and the possibility of making use of fully general polygonal meshes. A complete well-posedness and convergence analysis of the proposed method is presented under mild assumptions on the non-linear laws, encompassing common examples such as the Carreau--Yasuda model. Numerical experiments validating the theoretical bounds as well as demonstrating the practical capabilities of the proposed formulation are presented.