Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow
Analysis of PDEs
2011-12-20 v1
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.
Keywords
Cite
@article{arxiv.1112.4132,
title = {Existence and uniqueness of measure solutions for a system of continuity equations with non-local flow},
author = {Gianluca Crippa and Magali Lécureux-Mercier},
journal= {arXiv preprint arXiv:1112.4132},
year = {2011}
}