Existence of solutions to the Riemann problem for 2 × 2 conservation laws

Autor:	Hiroki Ohwa
Rok vydání:	2013
Předmět:	Conservation law Class (set theory) Applied Mathematics Mathematical analysis Existence theorem symbols.namesake Riemann problem Product (mathematics) Viscosity (programming) Jacobian matrix and determinant symbols Applied mathematics Analysis Mathematics
Zdroj:	Applicable Analysis. 92:1008-1027
ISSN:	1563-504X 0003-6811
DOI:	10.1080/00036811.2011.643785
Popis:	We consider the Riemann problem for a class of 2 × 2 systems of conservation laws which do not satisfy the strictly hyperbolicity condition. Our main assumption is that the product of non-diagonal elements within the Fŕechet derivative (Jacobian) of the flux is nonnegative. By improving a vanishing viscosity approach, we establish the existence of solutions to the Riemann problem for those systems.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::6701542c52ee63e886580bfc553292e0 https://doi.org/10.1080/00036811.2011.643785 Zobrazit plný text záznamu