The propagation of nonstationary filtration with absorption (Q1104482)
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scientific article; zbMATH DE number 4056166
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The propagation of nonstationary filtration with absorption |
scientific article; zbMATH DE number 4056166 |
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The propagation of nonstationary filtration with absorption (English)
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1987
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We point out a mistake in the paper of \textit{A. S. Kalashnikov} [Zh. Vychisl. Mat. Mat. Fiz. 14, 891-905 (1974; Zbl 0297.35045)] in the proof of infinite propagation of the weak solution of the Cauchy problem for the equation \(u_ t=(A(u))_{xx}-\phi (u)\). A more natural condition is given and the infinite propagation property for boundary value problem is studied. Finally, we discuss the supports of the weak solutions.
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infinite propagation
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weak solution of the Cauchy problem
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infinite propagation property
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supports of the weak solutions
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