Friction mediated by transient elastic linkages: extension to loads of bounded variation
Résumé
We are interested in the convergence of a system of integrodifferential equations with respect to an asymptotic parameter ε. It appears in the context of cell adhesion modeling [Oelz and Schmeiser 2010; Oelz, Schmeiser and Small 2008]. We extend the framework from [Milišić and Oelz 2011; 2015], strongly depending on the hypothesis that the external load f is in Lip([0,T]) to the case where f∈BV(0,T) only. We show how results presented in [Milišić and Oelz 2015] naturally extend to this new setting, while only partial results can be obtained following the comparison principle introduced in [Milišić and Oelz 2011].