Delta shock waves as limits of vanishing viscosity for 2-D steady pressureless isentropic flow (Q629874)
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scientific article; zbMATH DE number 5864144
| Language | Label | Description | Also known as |
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| English | Delta shock waves as limits of vanishing viscosity for 2-D steady pressureless isentropic flow |
scientific article; zbMATH DE number 5864144 |
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Delta shock waves as limits of vanishing viscosity for 2-D steady pressureless isentropic flow (English)
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10 March 2011
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The authors study the two-dimension steady pressureless isentropic flow described by the first-order system of equations (continuity equations and momentum conservation). The Riemann problem for this system is studied. This problem is solved by the characteristic method. Solutions are of two types: delta-shock solutions and vacuum solutions. The existence, uniqueness, and stability of the delta-shock solution is proved (under certain assumptions). The numerical examples illustrate the results.
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steady pressureless isentropic flow
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delta shock
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generalized Rankine-Hugoniot relation
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entropy condition
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Riemann problem
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characteristic method
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