The Unsteady Flow of a Weakly Compressible Fluid in a Thin Porous Layer I: Two-Dimensional Theory

DOI10.1137/070703405zbMath1182.35081OpenAlexW4254931831MaRDI QIDQ3395062

David John Needham, J. P. Gilchrist, G. S. Busswell, Stephen Langdon

Publication date: 20 August 2009

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://centaur.reading.ac.uk/4648/1/201SL1.pdf

zbMATH Keywords

matched asymptoticsinitial boundary value problemoil reservoirinner regionouter regionregular Sturm-Liouville eigenvalue problemVan Dyke principle

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Flows in porous media; filtration; seepage (76S05) Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Asymptotic expansions of solutions to PDEs (35C20) Initial value problems for second-order parabolic equations (35K15)

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