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

被引：0

作者：

Gianluca Crippa

Magali Lécureux-Mercier

机构：

[1] Universität Basel,Departement Mathematik und Informatik

[2] Technion-Israel Institute of Technology,undefined

来源：

Nonlinear Differential Equations and Applications NoDEA | 2013年 / 20卷

关键词：

35L65; System of conservation laws; Continuity equations; Wasserstein distance; Nonlocal flow; Pedestrian traffic;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：523 / 537

页数：14

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