This paper addresses the analysis of a model, proposed by M. Frémond, for the phenomenon of contact with reversible adhesion between a viscoelastic body and a rigid support. First of all, we prove existence and uniqueness of global-in-time solutions of (the initial-boundary value problem for) the related PDE system by means of a fixed point technique. Hence, we investigate the long-time behaviour of such solutions and obtain some results on the structure of the associated ω-limit set.
Well-posedness and long-time behaviour for a model of contact with adhesion / E. Bonetti, G. Bonfanti, R. Rossi. - In: INDIANA UNIVERSITY MATHEMATICS JOURNAL. - ISSN 0022-2518. - 56:6(2007), pp. 2787-2819.
Well-posedness and long-time behaviour for a model of contact with adhesion
E. Bonetti
;
2007
Abstract
This paper addresses the analysis of a model, proposed by M. Frémond, for the phenomenon of contact with reversible adhesion between a viscoelastic body and a rigid support. First of all, we prove existence and uniqueness of global-in-time solutions of (the initial-boundary value problem for) the related PDE system by means of a fixed point technique. Hence, we investigate the long-time behaviour of such solutions and obtain some results on the structure of the associated ω-limit set.
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