On nonstationary flow through porous media |
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| Authors: | H. W. Alt S. Luckhaus A. Visintin |
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| Affiliation: | (1) Institut für Angewandte Mathematik der Universität and Sonderforschungsbereich 72, Wegeler Strasse 6, D 5300 Bonn, Germany;(2) Sonderforschungsbereich 123, Universität Heidelberg, Im Neuenheimer Feld 294, D 6900 Heidelberg, Germany |
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| Abstract: | Summary Saturated-unsaturated flow of an incompressible fluid through a porous medium is considered in the case of time-dependent water levels. This corresponds to coupling the mass conservation law with a continuous constitutive condition between water content and pressure. An existence result for the corresponding weak formulation is proved. Finally we study the limit as the constitutive relation degenerates into a maximal monotone graph.This work was supported by the Deutsche Forschungsgemeinschaft through Sonderforschungsbereich 123 (Heidelberg).On leave from: Istituto di Analisi Numerica del C.N.R., Corso C. Alberto 5 - I 27100 Pavia (Italy). |
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