Solvability of a class of thermal dynamical contact problems with subdifferential conditions

Samir Adly (1) , Oanh Chau (2) , Mohamed Rochdi (3)

1 DMI
2 Département Maths-Info
3 UR - Université de La Réunion

We study a class of dynamic thermal sub-differential contact problems with friction, for long memory visco-elastic materials, which can be put into a general model of system defined by a second order evolution inequality, coupled with a first order evolution equation. We present and establish an existence and uniqueness result, by using general results on first order evolution inequality, with monotone operators and fixed point methods.

Mots clés: fixed point; dynamical process; evolution inequality; long memory thermo-visco-elasticity; sub-differential contact condition

Domaines: Optimisation et contrôle [math.OC]

Samir Adly, Oanh Chau, Mohamed Rochdi. Solvability of a class of thermal dynamical contact problems with subdifferential conditions. Numerical Algebra, Control and Optimization, 2012, 2 (1), pp.91-104. ⟨10.3934/naco.2012.2.91⟩. ⟨hal-00683058⟩