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

被引：49

作者：

Crippa, Gianluca ^{[1
]}

Lecureux-Mercier, Magali ^{[2
]}

机构：

[1] Univ Basel, Dept Math & Informat, CH-4051 Basel, Switzerland

[2] Technion Israel Inst Technol, IL-32000 Haifa, Israel

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2013年 / 20卷 / 03期

关键词：

System of conservation laws; Continuity equations; Wasserstein distance; Nonlocal flow; Pedestrian traffic; CROWD DYNAMICS; MODEL; SUSPENSIONS;

D O I：

10.1007/s00030-012-0164-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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：15

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