Well-posedness and long-time behaviour for a model of contact with adhesion

• Autores: Giovanna Bonfanti, Riccarda Rossi, Elena Bonetti
• Localización: Indiana university mathematics journal, ISSN 0022-2518, Vol. 56, Nº 6, 2007, págs. 2787-2820
• Idioma: inglés
• DOI: 10.1512/iumj.2007.56.3079
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• Resumen

  • 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 !-limit set.