Initial boundary value problems for nonconvex hyperbolic conservation laws with relaxation (Q5937109)
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scientific article; zbMATH DE number 1618534
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Initial boundary value problems for nonconvex hyperbolic conservation laws with relaxation |
scientific article; zbMATH DE number 1618534 |
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Initial boundary value problems for nonconvex hyperbolic conservation laws with relaxation (English)
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4 November 2001
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The authors consider initial-boundary value problems for a family of two hyperbolic conservation laws with relaxation. The relaxed system is a scalar conservation law with a nonconvex flux. The global existence of smooth solutions is proved under a subcharacteristic condition. Large time behavior reveals an asymptotic solution consisting of either one or two traveling waves, depending on boundary effects.
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large time behavior
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global existence of smooth solutions
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subcharacteristic condition
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traveling waves
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