Uniform in time description for weak solutions of the Hopf equation with nonconvex nonlinearity (Q963480)
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scientific article; zbMATH DE number 5695193
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniform in time description for weak solutions of the Hopf equation with nonconvex nonlinearity |
scientific article; zbMATH DE number 5695193 |
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Uniform in time description for weak solutions of the Hopf equation with nonconvex nonlinearity (English)
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20 April 2010
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Summary: We consider the Riemann problem for the Hopf equation with concave-convex flux functions. Applying the weak asymptotics method we construct a uniform in time description for the Cauchy data evolution and show that the use of this method implies automatically the appearance of the Oleinik E-condition.
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Hopf equation
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Riemann problem
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weak asymptotic method
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shock waves
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