On the Dirichlet-Neumann Boundary Problem for Scalar Conservation Laws

Autor:	Marin Mišur, Darko Mitrovic, Andrej Novak
Jazyk:	angličtina
Rok vydání:	2016
Předmět:	scalar conservation law bounded domain Dirichlet-Neumann problem compensated compactness numerical simulations Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 21, Iss 5 (2016)
Druh dokumentu:	article
ISSN:	13926292 1392-6292 1648-3510
DOI:	10.3846/13926292.2016.1214187
Popis:	We consider a Dirichlet-Neumann boundary problem in a bounded domain for scalar conservation laws. We construct an approximate solution to the problem via an elliptic approximation for which, under appropriate assumptions, we prove that the corresponding limit satisfies the considered equation in the interior of the domain. The basic tool is the compensated compactness method. We also provide numerical examples.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/3969408f97f74b1281011b4c07000f10 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF