Bull. Soc. Sciences Math. de Roumanie,
special issue on "Mathematical Inequalities and Applications,"
to appear.
Abstract
A model for dynamic frictional contact between a thermoelastic
plate and a moving obstacle, which includes frictional heat generation,
is
presented. The obstacle may be reactive or rigid, and so contact is
modeled
by the normal compliance or the Signorini conditions. The existence of
the
unique weak solution for the problem with normal compliance is
established
by using approximations involving set-valued pseudo-monotone operators,
a
priori estimates, and Gronwall's inequality.