3 papers
math.AP2026
Analysis of non-overlapping models with a weighted infinite delay
Thierno Mamadou Balde, Vuk Milisic
The framework of this article is cell motility modeling. Approximating cells as rigid spheres we take into account for both non-penetration and adhesions forces. Adhesions are mode…
math.NA2026
A new comparison principle for discrete Volterra equations with an application to convex sweeping processes with infinite delays
Thierno Mamadou Baldé, Vuk Milisic, Steffen Plunder
Comparison principles for Volterra equations play a role analogous to maximum principles in PDEs: they provide positivity and stability information on the solution and allow one to…
math.AP2024
From transient elastic linkages to friction: a complete study of a penalized fourth order equation with delay
Vuk Milisic, Philippe Souplet
In this paper we consider a fourth order nonlinear parabolic delayed problem modelling a quasi-instantaneous turn-over of linkages in the context of cell-motility. The model depend…