# American Institute of Mathematical Sciences

March  2008, 1(1): 61-70. doi: 10.3934/dcdss.2008.1.61

## A mathematical analysis of a dynamical frictional contact model in thermoviscoelasticity

 1 Université de La Réunion, Département Maths-Info, BP 7151, 15 Avenue René Cassin, 97715 Saint Denis Messag, cedex 09, La Réunion, France, France, France

Received  August 2006 Revised  August 2007 Published  December 2007

We are interested in the dynamic evolution of a thermoviscoelastic body which is on frictional contact with a rigid foundation. The contact is modeled by a general normal damped response condition with friction law and heat exchange. We establish the existence and uniqueness of the weak solution, under the condition that the viscosity is sufficiently strong. Finally the numerical analysis of a fully discrete scheme is presented.
Citation: Oanh Chau, R. Oujja, Mohamed Rochdi. A mathematical analysis of a dynamical frictional contact model in thermoviscoelasticity. Discrete & Continuous Dynamical Systems - S, 2008, 1 (1) : 61-70. doi: 10.3934/dcdss.2008.1.61
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