Measure valued solutions to conservation laws motivated by traffic modelling-Reference-Cited by-同舟云学术

Measure valued solutions to conservation laws motivated by traffic modelling

Published:2006-02-21 Issue:2070 Volume:462 Page:1791-1803
ISSN:1364-5021
Container-title:Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
language:en
Short-container-title:Proc. R. Soc. A.

Author:

Benzoni-Gavage Sylvie¹,Colombo Rinaldo M²,Gwiazda Piotr³

Affiliation:

1. ICJ, Université Lyon I, 21 Avenue Claude Bernard, Villeurbanne Cedex 69622, France

2. Department of MathematicsVia Valotti 9, 25133 Brescia, Italy

3. Warsaw University, Institute of Applied MathematicsBanacha 2, 00-913 Warsaw, Poland

Abstract

Motivated by a traffic model, we study a conservation law whose solutions naturally need to be bounded Radon measures. We investigate the relations between this equation and finite systems of conservation laws that converge to it.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.2005.1649

Reference11 articles.

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4. Diestel J. & Uhl J. J. Jr. 1977 Vector measures . With a foreword by B.J. Pettis Mathematical Surveys No. 15 Providence RI: American Mathematical Society.

5. Measure-valued solutions to conservation laws

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