FRICTION MEDIATED BY TRANSIENT ELASTIC LINKAGES: EXTENSION TO LOADS OF BOUNDED VARIATION

摘要

We are interested in the convergence of a system of integrodifferential equations with respect to an asymptotic parameter epsilon. It appears in the context of cell adhesion modeling Oelz and Schmeiser 2010; Oelz, Schmeiser and Small 2008. We extend the framework from Milisic and Oelz 2011; 2015, strongly depending on the hypothesis that the external load f is in Lip(0, T) to the case where f is an element of BV(0, T) only. We show how results presented in Milisic and Oelz 2015 naturally extend to this new setting, while only partial results can be obtained following the comparison principle introduced in Milisic and Oelz 2011.