Mitrovic, Darko New entropy conditions for scalar conservation laws with discontinuous flux. (English) Zbl 1228.35144 Discrete Contin. Dyn. Syst. 30, No. 4, 1191-1210 (2011). The author proposes new Kruzhkov type entropy conditions for the scalar conservation law \[ \partial_t u +\partial_x(H(x)f(u)+H(-x)g(u))=0 \]with flux function discontinuous at the point \(x=0\). Under assumptions provided the maximum principle, the existence and uniqueness of an entropy admissible weak solution are proven. Reviewer: Evgeniy Panov (Novgorod) Cited in 11 Documents MSC: 35L65 Hyperbolic conservation laws 35B50 Maximum principles in context of PDEs Keywords:scalar conservation laws; discontinuous flux; entropy conditions; existence and uniqueness PDFBibTeX XMLCite \textit{D. Mitrovic}, Discrete Contin. Dyn. Syst. 30, No. 4, 1191--1210 (2011; Zbl 1228.35144) Full Text: DOI arXiv