Convergence of approximate solutions of the Cauchy problem for a \(2\times 2\) nonstrictly hyperbolic system of conservation laws (Q1300740)
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scientific article; zbMATH DE number 1331042
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Convergence of approximate solutions of the Cauchy problem for a \(2\times 2\) nonstrictly hyperbolic system of conservation laws |
scientific article; zbMATH DE number 1331042 |
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Convergence of approximate solutions of the Cauchy problem for a \(2\times 2\) nonstrictly hyperbolic system of conservation laws (English)
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13 September 2000
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A convergence theorem for the Lax-Friedrichs scheme, applied to a nonstrictly hyperbolic and nongenuinely nonlinear system of conservation laws is established. Using the theory of compensated compactness the author proves convergence of a subsequence in the strong topology.
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Cauchy problem
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hyperbolic system
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conservation laws
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Lax-Friedrichs scheme
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convergence
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