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 text pdf 10.1512/iumj.2007.56.3079 10.1512/iumj.2007.56.3079 en Indiana Univ. Math. J. 56 (2007) 2787 - 2820 state-of-the-art mathematics http://iumj.org/access/