Stability estimates for non-local scalar conservation laws

被引：20

作者：

Chiarello, Felisia Angela ^{[1
]}

Goatin, Paola ^{[1
]}

Rossi, Elena ^{[1
]}

机构：

[1] Univ Cote Azur, Inria Sophia Antipolis Mediterranee, INRIA, CNRS,LJAD, 2004 Route Lucioles BP 93, F-06902 Sophia Antipolis, France

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2019年 / 45卷

关键词：

Scalar conservation laws; Non-local flux; Stability; TRAFFIC FLOW; BALANCE LAWS; WELL-POSEDNESS; WEAK SOLUTIONS; SIMULATION; UNIQUENESS; EQUATION;

D O I：

10.1016/j.nonrwa.2018.07.027

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the stability of entropy weak solutions of a class of scalar conservation laws with non-local flux arising in traffic modelling. We obtain an estimate of the dependence of the solution with respect to the kernel function, the speed and the initial datum. Stability is obtained from the entropy condition through doubling of variable technique. We finally provide some numerical simulations illustrating the dependencies above for some cost functionals derived from traffic flow applications. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：668 / 687

页数：20

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