Étude variationnelle du problème de Riemann. (Variational study of the Riemann problem) (Q1184660)
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scientific article; zbMATH DE number 34870
| Language | Label | Description | Also known as |
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| English | Étude variationnelle du problème de Riemann. (Variational study of the Riemann problem) |
scientific article; zbMATH DE number 34870 |
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Étude variationnelle du problème de Riemann. (Variational study of the Riemann problem) (English)
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28 June 1992
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The Riemann problem is studied for a system of conservation laws with a strongly convex entropy. It is established that in an arbitrary number of dimensions the problem can be reduced to the solution of an infinite number of entropy inequalities. This approach is used to study wave curves in connection with an initial boundary value problem, and to study certain maximum principles and the uniqueness problem for a trivial Riemann problem.
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Riemann problem
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convex entropy
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entropy inequalities
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maximum principles
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uniqueness problem
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