A study of the problem of nonlinear filtrational consolidation

descriptionPublicationkeyboard_double_arrow_right Article 01 May 1995 English Publisher:Springer Science and Business Media LLCJournal:Journal of Mathematical Sciences, volume 74, pages 1,306-1,317 (issn: 1072-3374, eissn: 1573-8795,

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Authors: Drobotenko, M. I.;

doi: 10.1007/bf02367717

A study of the problem of nonlinear filtrational consolidation

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Abstract

We study a rather general problem of nonlinear filtrational consolidation. We give the definition of a weak solution and show that it exists and is unique under certain conditions. We establish a connection between weak and classical solutions of the above problem.

Keywords

saturated porous medium, classical solutions, external forces, Flows in porous media; filtration; seepage, existence, uniqueness, weak solution, PDEs in connection with fluid mechanics

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