Compressible flow with damping and vacuum (Q1922263)
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scientific article; zbMATH DE number 927307
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Compressible flow with damping and vacuum |
scientific article; zbMATH DE number 927307 |
Statements
Compressible flow with damping and vacuum (English)
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10 July 1997
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The compressible Euler equations with damping and the singular behavior of the flow near the vacuum are discussed. The large-time behavior of solutions to the compressible Euler equations with damping and (related to it time asymptotically) to the so-called porous media equations is studied. A class of particular solutions for the compressible Euler equations which tend time-asymptotically to the Barenblatt solutions is constructed. The porous media equation is derived from the Euler equation through Darcy's law.
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compressible Euler equations with damping
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flow near the vacuum
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porous media equation
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