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The role of polyconvexity in dynamical problems of thermomechanics

  • Date September 24, 2018
  • Hour 2.30 pm
  • Room GSSI Main Lecture Hall
  • Speaker Athanasios Tzavaras, King Abdullah University of Science and Technology (KAUST)
  • Area Mathematics

ABSTRACT

The stabilization of thermo-mechanical systems is a classical problem in thermodynamics and well understood
in a context of gases. The objective of this talk is to indicate the role of null-Lagrangians and various transport/stretching
identities for their evolution in stabilizing thermomechanical systems associated with general thermoelastic free energies.
This allows to prove various convergence results among thermomechanical theories, and suggests
variational schemes for the approximation of the equations of adiabatic thermoelasticity.