A class of dynamic frictional contact problems governed by a system of hemivariational inequalities in thermoviscoelasticity

Bibliographic description

punktacja MEiN [2014 A]: 45

title:	A class of dynamic frictional contact problems governed by a system of hemivariational inequalities in thermoviscoelasticity
author:	Migórski Stanisław , Szafraniec Paweł
journal title:	Nonlinear Analysis. Real World Applications
volume:	15
date of publication :	2014
pages:	158-171
ISSN:	1468-1218
eISSN:	1878-5719
DOI:	10.1016/j.nonrwa.2013.07.002
language:	English
journal language:	English
abstract in English:	In this paper we prove the existence and uniqueness of the weak solution for a dynamic thermoviscoelastic problem which describes frictional contact between a body and a foundation. We employ the nonlinear constitutive viscoelastic law with a long-term memory, which includes the thermal effects and considers the general nonmonotone and multivalued subdifferential boundary conditions for the contact, friction and heat flux. The model consists of the system of the hemivariational inequality of hyperbolic type for the displacement and the parabolic hemivariational inequality for the temperature. The existence of solutions is proved by using recent results from the theory of hemivariational inequalities and a fixed point argument.
affiliation:	Wydział Matematyki i Informatyki : Katedra Teorii Optymalizacji i Sterowania
type:	journal article
subtype:	academic paper

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