ABOUT UNIQUENESS OF WEAK SOLUTIONS TO FIRST ORDER QUASI-LINEAR EQUATIONS

Autor:	J. Nieto, Juan Soler, Frédéric Poupaud
Rok vydání:	2002
Předmět:	Conservation law Applied Mathematics Modeling and Simulation Mathematical analysis Particle method Entropy (information theory) Quasi linear Uniqueness First order Mathematics
Zdroj:	Mathematical Models and Methods in Applied Sciences. 12:1599-1615
ISSN:	1793-6314 0218-2025
DOI:	10.1142/s0218202502002252
Popis:	In this paper we give a criterion to discriminate the entropy solution to quasi-linear equations of first order among weak solutions. This uniqueness statement is a generalization of Oleinik's criterion, which makes reference to the measure of the increasing character of weak solutions. The link between Oleinik's criterion and the entropy condition due to Kruzhkov is also clarified. An application of this analysis to the convergence of the particle method for conservation laws is also given by using the Filippov characteristics.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::4b0ea6c7f43e56f4250d16ea0db1722c https://doi.org/10.1142/s0218202502002252 Zobrazit plný text záznamu