The evolution dam problem for nonlinear Darcy's law and nonlinear leaky boundary conditions (Q1576431)
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scientific article; zbMATH DE number 1491240
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The evolution dam problem for nonlinear Darcy's law and nonlinear leaky boundary conditions |
scientific article; zbMATH DE number 1491240 |
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The evolution dam problem for nonlinear Darcy's law and nonlinear leaky boundary conditions (English)
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2 July 2001
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The author considers an evolutionary dam problem, an incompressible fluid flow through a porous medium governed by a nonlinear Darcy's law, for example, corresponding to the \(p\)-Laplacian. A nonlinear leaky boundary condition is imposed on some part of the boundary. The author proves the existence of a weak solution and the uniqueness of the solution for a large class of situations.
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dam problem
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leaky boundary conditions
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\(p\)-Laplacian
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