Criteria on contractions for entropic discontinuities of systems of conservation laws (Q303710)
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scientific article; zbMATH DE number 6618627
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Criteria on contractions for entropic discontinuities of systems of conservation laws |
scientific article; zbMATH DE number 6618627 |
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Criteria on contractions for entropic discontinuities of systems of conservation laws (English)
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22 August 2016
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The authors discuss the contraction property associated to the \(n\times n\) system of equations \(\partial_t u+\partial_x f(u)=0\), \(t>0\), \(x \in \mathbb R\) in \(L_p\), which is endowed with a strictly convex entropy. It is shown that intermediate shocks of two-dimensional isentropic magnetodynamics do not verify any established contraction property. The contraction properties are investigated for contact discontinuities of the Euler system.
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contraction property
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strictly convex entropy
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intermediate shock
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Euler equations
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