Title: Analysis of a class of dynamic thermal contact problems

Authors: O. Chau

Addresses: Department of Mathematics, University of La Reunion, 97715 Saint-Denis Messag Cedex 9, France

Abstract: We study a general system defined by a second order evolution equation, coupled with a first order differential equation, which can model some classes of dynamic thermal contact problems. We present and establish an existence and uniqueness result, by using general results on evolution equations and Banach|s contraction principle, with monotone operators and fixed point arguments. Then a fully discrete scheme for numerical approximations and analysis of error order estimate are provided. Finally applications to concrete dynamic contact problems are given, followed by numerical simulations.

Keywords: thermo-viscoelastic frictional contact; dynamic processes; evolution equations; frictional heat exchange; weak solutions; fixed point; numerical approximation; error estimates; numerical simulations; thermal contact; differential equations.

DOI: 10.1504/IJCSM.2008.019711

International Journal of Computing Science and Mathematics, 2008 Vol.2 No.1/2, pp.1 - 27

Published online: 25 Jul 2008 *

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