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SUMMARY:Myrto Maria Galanopoulou (Heriot-Watt University)
DTSTART:20211029T140000Z
DTEND:20211029T150000Z
DTSTAMP:20260423T021059Z
UID:VMAS/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VMAS/24/">Th
 e equations of polyconvex thermoelasticity</a>\nby Myrto Maria Galanopoulo
 u (Heriot-Watt University) as part of Virtual Maxwell Analysis Seminar\n\n
 \nAbstract\nIn this talk\, I will present the findings of my PhD Thesis. I
  will examine the system of thermoelasticity endowed with polyconvex energ
 y. I will show that we can embed the equations of polyconvex thermoviscoel
 asticity into an augmented\, symmetrizable\, hyperbolic system which posse
 sses a convex entropy. This allows to prove many important stability resul
 ts\, such as convergence from the viscous problem to smooth solutions of t
 he system of adiabatic thermoelasticity in the zero-viscosity limit. In ad
 dition\, I will present a weak-strong uniqueness result in the class of en
 tropy 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 thermo
 elasticity: I establish existence of minimizers which converge to a measur
 e-valued solution that dissipates the total energy\, while the scheme conv
 erges when the limiting solution is smooth.\n
LOCATION:https://researchseminars.org/talk/VMAS/24/
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