×

zbMATH — the first resource for mathematics

Existence of \(L^\infty\) entropy solutions for a reacting Euler system. (English) Zbl 1079.76064
Summary: We give an existence result for \(L^{\infty}\) solutions for an isentropic Euler system with a source term. Our method follows the analysis of R. J. DiPerna [Arch. Ration. Mech. Anal. 82, No. 1, 27–70 (1983)] and uses the compensated compactness theory developed by Murat and Tartar.

MSC:
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
76V05 Reaction effects in flows
35Q35 PDEs in connection with fluid mechanics
PDF BibTeX XML Cite
Full Text: EMIS EuDML