Autor:	Gwiazda, Piotr, Swierczewska-Gwiazda, Agnieszka, Wittbold, Petra, Zimmermann, Aleksandra
Rok vydání:	2014
Předmět:	Mathematics - Analysis of PDEs 35L65 35R05
Druh dokumentu:	Working Paper
Popis:	We consider the problem of existence of entropy weak solutions to scalar balance laws with a dissipative source term. The flux function may be discontinuous with respect both to the space variable x and the unknown quantity u. The problem is formulated in the framework of multi-valued mappings. We use the notion of entropy-measure valued solutions to prove the so-called contraction principle and comparison principle. Comment: 28 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1404.2036 Zobrazit plný text záznamu View this record from Arxiv