Eventual \(C^{\infty}\)-regularity and concavity for flows in one- dimensional porous media (Q1101300)
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scientific article; zbMATH DE number 4047338
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Eventual \(C^{\infty}\)-regularity and concavity for flows in one- dimensional porous media |
scientific article; zbMATH DE number 4047338 |
Statements
Eventual \(C^{\infty}\)-regularity and concavity for flows in one- dimensional porous media (English)
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1987
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The asymptotic behaviour of the solutions of the one-dimensional flow of a gas in a porous medium is studied. It is proved that the interface between the sets with zero gas-density and the sets with positive gas- density is a \(C^{\infty}\)-curve. If the initial data are compact, the solution is spatially concave in its support after a finite time.
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asymptotic behaviour
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one-dimensional flow
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porous medium
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zero gas- density
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initial data
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