Existence of \(L^\infty\) entropy solutions for a reacting Euler system. (Q1406597)

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scientific article; zbMATH DE number 1975350
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Existence of \(L^\infty\) entropy solutions for a reacting Euler system.
scientific article; zbMATH DE number 1975350

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    Existence of \(L^\infty\) entropy solutions for a reacting Euler system. (English)
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    2001
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    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 \textit{R. J. DiPerna} [Arch. Ration. Mech. Anal. 82, No. 1, 27--70 (1983)] and uses the compensated compactness theory developed by Murat and Tartar.
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    Compensated compactness
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    source terms
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    existence
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