The initial-boundary value problem for general non-local scalar conservation laws in one space dimension

被引：21

作者：

De Filippis, Cristiana ^{[1
,2
]}

Goatin, Paola ^{[1
]}

机构：

[1] Inria Sophia Antipolis Mediterranee, Biot, France

[2] Univ Oxford, Math Inst, Oxford, England

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2017年 / 161卷

关键词：

Scalar conservation laws; Non-local flux; Initial-boundary value problem; Lax-Friedrichs scheme; LOOK-AHEAD DYNAMICS; TRAFFIC FLOW; WELL-POSEDNESS; MODEL; SIMULATION; EQUATION; VELOCITY; SCHEMES; SYSTEMS;

D O I：

10.1016/j.na.2017.05.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a global well-posedness result for a class of weak entropy solutions of bounded variation (BV) of scalar conservation laws with non-local flux on bounded domains, under suitable regularity assumptions on the flux function. In particular, existence is obtained by proving the convergence of an adapted Lax-Friedrichs algorithm. Lipschitz continuous dependence from initial and boundary data is derived applying KruZhkov's doubling of variable technique. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：131 / 156

页数：26

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