Large \(BV\) solutions to Euler equations in the isothermal self-gravitating gases with damping (Q1016670)
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scientific article; zbMATH DE number 5551459
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Large \(BV\) solutions to Euler equations in the isothermal self-gravitating gases with damping |
scientific article; zbMATH DE number 5551459 |
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Large \(BV\) solutions to Euler equations in the isothermal self-gravitating gases with damping (English)
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6 May 2009
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The authors study the initial-boundary value problem for the hyperbolic systems of balance laws describing the radial motions of self-gravitating gases with damping. Using a modified Glimm scheme they prove existence of a global \(BV\) solution to this problem for arbitrarily large initial data.
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Euler equations
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axially symmetry
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weak solutions
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Glimm scheme
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Riemann problem
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uniform \(BV\) estimates
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0.9003861
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0.8870444
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0.8818399
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0.8771564
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0.87115616
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0.8708099
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0.8694717
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0.8691088
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0.8688438
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