Existence of a solution for two phase flow in porous media: the case that the porosity depends on the pressure (Q860944)
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scientific article; zbMATH DE number 5083569
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of a solution for two phase flow in porous media: the case that the porosity depends on the pressure |
scientific article; zbMATH DE number 5083569 |
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Existence of a solution for two phase flow in porous media: the case that the porosity depends on the pressure (English)
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9 January 2007
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The paper deals with a nonlinear parabolic system describing a two phase incompressible flow in the ground and the mechanical deformation of a porous medium. The existence of a weak solution is proven by constructing a sequence of regularized problems for which the Schauder fixed point theorem applies and then showing that one can pass to the limit along a subsequence.
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subsidence model
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Schauder fixed point theorem
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