VARIATIONAL APPROACH FOR THERMODYNAMICS OUT OF EQUILIBRIUM

Abstract: The study of dynamic elasticity is a mainstay in Applied Mathematics and Mechanics as it models materials able to accommodate large deformations which are abundant in different physical and biological applications. While there is a vast body of literature on the static case in vectorial elasticity, particularly within the fields of calculus of variations and elliptic partial differential equations, the dynamic case has traditionally received less attention. In the first part of the talk, we present recent findings regarding the stability and uniqueness properties of the evolution equations in (thermo)elasticity, while in the second part we discuss the variational structure of such systems and present schemes to construct consistent solutions, i.e. dissipating entropy and conserving energy. Joint work with Myrto Galanopoulou, Konstantinos Koumatos and Athanasios Tzavaras.

MathematicsPhysics

Audience: researchers in the topic

Nečas Seminar on Continuum Mechanics

Series comments: This seminar was founded on December 14, 1966.

Faculty of Mathematics and Physics, Charles University, Sokolovská 83, Prague 8. If not written otherwise, we will meet on Mondays at 15:40 in lecture hall K3 (2nd floor)