Riemann problem with delta initial data for the isentropic relativistic Chaplygin Euler equations (Q322144)
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scientific article; zbMATH DE number 6639259
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Riemann problem with delta initial data for the isentropic relativistic Chaplygin Euler equations |
scientific article; zbMATH DE number 6639259 |
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Riemann problem with delta initial data for the isentropic relativistic Chaplygin Euler equations (English)
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14 October 2016
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The author considers the Riemann problem for the relativistic one-dimensional Chaplygin flow with the equation of state \(P=-\rho^{-1}\). Initial data differ from the classical Riemann data by an added \(\delta\)-function. Global existence and uniqueness is proved for generalized solutions with delta shocks of four types. The delta entropy condition is shown to be insufficient for uniqueness of the solution.
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Chaplygin gas
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delta shock
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generalized Rankine-Hugoniot condition
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entropy condition
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global existence of generalized solution
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