The equations of polyconvex thermoelasticity

Myrto Maria Galanopoulou (Heriot-Watt University)

29-Oct-2021, 14:00-15:00 (2 years ago)

Abstract: In this talk, I will present the findings of my PhD Thesis. I will examine the system of thermoelasticity endowed with polyconvex energy. I will show that we can embed the equations of polyconvex thermoviscoelasticity into an augmented, symmetrizable, hyperbolic system which possesses a convex entropy. This allows to prove many important stability results, such as convergence from the viscous problem to smooth solutions of the system of adiabatic thermoelasticity in the zero-viscosity limit. In addition, I will present a weak-strong uniqueness result in the class of entropy weak solutions and in a suitable class of measure-valued solutions, defined by means of generalized Young measures. Also, we will discuss a variational scheme for isentropic processes of adiabatic polyconvex thermoelasticity: I establish existence of minimizers which converge to a measure-valued solution that dissipates the total energy, while the scheme converges when the limiting solution is smooth.

analysis of PDEsclassical analysis and ODEs

Audience: researchers in the topic


Virtual Maxwell Analysis Seminar

Series comments: Please contact h.gimperlein@hw.ac.uk to subscribe to the mailing list and receive Zoom meeting details.

Organizers: Heiko Gimperlein*, Jonathan Hickman*
*contact for this listing

Export talk to