Authors: | Lenzinger, Michael Schweizer, Ben |
Title: | Two-phase flow equations with outflow boundary conditions in the hydrophobic-hydrophilic case |
Language (ISO): | en |
Abstract: | We introduce an approximation procedure and provide existence results for two-phase flow equations in porous media. The medium can have hydrophobic and hydrophilic components such that the capillary pressure function is degenerate for extreme saturations. Our main interest is the outflow boundary condition which models an interface with open space. The approximate system introduces standard boundary conditions and can be used in numerical schemes. It allows the derivation of maximum principles. These are the basis for the derivation of the limiting system in the form of a variational inequality. |
Subject Headings: | two-phase flow porous media outflow boundary maximum principle variational inequality |
URI: | http://hdl.handle.net/2003/25300 http://dx.doi.org/10.17877/DE290R-8907 |
Issue Date: | 2008-05-27T12:08:01Z |
Appears in Collections: | Preprints der Fakultät für Mathematik Schweizer, Ben Prof. Dr. |
Files in This Item:
File | Description | Size | Format | |
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mathematicalPreprint12.pdf | 431.99 kB | Adobe PDF | View/Open |
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