Well-posedness and long-time behaviour for a model of contact with adhesion
Elena BonettiGiovanna BonfantiRiccarda Rossi
35K5574A1574M15contactadhesionreversibilitywell-posednesslong-time behaviour
This paper addresses the analysis of a model, proposed by M. Fr\'emond, 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 $\omega$-limit set.
Indiana University Mathematics Journal
2007
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10.1512/iumj.2007.56.3079
10.1512/iumj.2007.56.3079
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Indiana Univ. Math. J. 56 (2007) 2787 - 2820
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