Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow

Abstract

In this paper, we prove existence and uniqueness of measure solutions for the Cauchy problem associated to the (vectorial) continuity equation with a non-local flow. We also give a stability result with respect to various parameters.

References in corpus (2)

• The Dynamics of Crowd Disasters: An Empirical Study
• Multiscale modeling of granular flows with application to crowd dynamics