Weak solutions of general systems of hyperbolic conservation laws (Q1396177)
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scientific article; zbMATH DE number 1942701
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weak solutions of general systems of hyperbolic conservation laws |
scientific article; zbMATH DE number 1942701 |
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Weak solutions of general systems of hyperbolic conservation laws (English)
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2002
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The authors establish the existence theory for a general system of hyperbolic conservation laws, obtain the uniform \(L_1\) boundedness for the solutions and construct the solutions by the Glimm scheme through the wave tracing method. They introduce a new analysis to verify the consistency of the wave tracing procedure, and make use of the entropy functional to study the \(L_1\) boundedness. The results presented in this paper are significant.
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Glimm scheme
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wave tracing method
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0.9334793
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0.9322803
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0.9281454
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0.9227494
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