Full metadata record
DC Field | Value | Language |
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dc.contributor.author | Schweizer, Ben | - |
dc.date.accessioned | 2008-06-02T15:12:05Z | - |
dc.date.available | 2008-06-02T15:12:05Z | - |
dc.date.issued | 2007-03-30 | - |
dc.identifier.citation | Ben Schweizer, Regularization of outflow problems in unsaturated porous media with dry regions,. In: Journal of Differential Equations Nr. 2, Jg. 237(2007) S. 278-306. | de |
dc.identifier.uri | http://hdl.handle.net/2003/25413 | - |
dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-7975 | - |
dc.description.abstract | We study a porous medium with saturated, unsaturated, and dry regions, described by Richards' equation for the saturation s and the pressure p. Due to a degenerate permeability coefficient k(x,s) and a degenerate capillary pressure function pc(x,s), the equations may be of elliptic, parabolic, or of ODE-type. We construct a parabolic regularization of the equations and find conditions that guarantee the convergence of the parabolic solutions to a solution of the degenerate system. An example shows that the convergence fails in general. Our approach provides an existence result for the outflow problem in the case of x-dependent coefficients and a method for a numerical approximation. | en |
dc.language.iso | en | de |
dc.publisher | Elsevier | de |
dc.rights | Copyright © 2007 Published by Elsevier Inc. | en |
dc.subject.ddc | 510 | - |
dc.title | Regularization of outflow problems in unsaturated porous media with dry regions | en |
dc.type | Text | de |
dc.identifier.doi | 10.1016/j.jde.2007.03.011 | - |
dc.type.publicationtype | preprint | en |
dc.identifier.url | http://dx.doi.org/10.1016/j.jde.2007.03.011 | - |
dcterms.accessRights | open access | - |
Appears in Collections: | Schweizer, Ben Prof. Dr. |
Files in This Item:
File | Description | Size | Format | |
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PreprintRegularizationOfOutflow.pdf | 275.71 kB | Adobe PDF | View/Open |
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