Asymptotic behavior for weak solutions of a porous media equation (Q749754)
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scientific article; zbMATH DE number 4173470
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic behavior for weak solutions of a porous media equation |
scientific article; zbMATH DE number 4173470 |
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Asymptotic behavior for weak solutions of a porous media equation (English)
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1988
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The paper studies the asymptotic behavior as \(t\to \infty\) of the weak solution for a one-dimensional initial-boundary value problem for the nonlinear porous media equation. By using comparison arguments and the Ascoli-Arzela theorem, the weak solution is shown to converge uniformly to its corresponding stationary solution.
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convergence
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nonlinear porous media equation
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stationary solution
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