Special Session 195: Calculus of Variations and Hyperbolic PDEs in Solid Mechanics
Regular solutions and long-time dynamics in nonlinearly coupled thermoelasticity
Srdan Trifunovic
Faculty of Sciences, University of Novi Sad Yugoslavia
Co-Author(s): Piotr Micha{\l} Bies,Tomasz Cie\`slak, Mario Fuest, Johannes Lankeit, Boris Muha
Abstract:
In this talk, I will present a recent result on a nonlinearnly coupled thermoelasticity system. The first part of the result concerns existence and uniqueness of regular solutions, while the second one concerns long-time dynamics. The result is based on a novel functional involving the Fisher information associated with temperature, and its boundedness plays a key role in the result.