Analysis of a Model of Percolation in a Gently Sloping Sand-Bank

Abstract

Previous article Next article Analysis of a Model of Percolation in a Gently Sloping Sand-BankCharles M. Elliott and Avner FriedmanCharles M. Elliott and Avner Friedmanhttps://doi.org/10.1137/0516071PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAboutAbstractA free boundary problem associated with the percolation of sea-water in a “nearly” flat sand-bank is considered. The wet and dry zones of the beach are studied.[1] J. M. Aitchison, , C. M. Elliott and , J. R. Ockendon, Percolation in gently sloping beaches, IMA J. Appl. Math., 30 (1983), 269–287 84i:76067 0536.76085 CrossrefISIGoogle Scholar[2] J. M. Aitchison, , A. G. Newlands and , C. P. Please, Percolation in intertidal sand-bands-a constrained harmonic problem, CEGB Research Rept., TPRD/L/2344/N82, CERL, Kelvin Avenue, Leatherhead, Surrey, UK, 1982 Google Scholar[3] Avner Friedman, Variational principles and free-boundary problems, Pure and Applied Mathematics, John Wiley & Sons Inc., New York, 1982ix+710 84e:35153 0564.49002 Google Scholar[4] Avner Friedman and , Alessandro Torelli, A free boundary problem connected with non-steady filtration in porous media, Nonlinear Anal., 1 (1976/77), 503–545 10.1016/0362-546X(77)90015-3 58:29277 0373.76078 Avner Friedman and , Alessandro Torelli, Correction to the paper: “A free boundary problem connected with nonsteady filtration in porous media'', Nonlinear Anal., 2 (1978), 513–518 10.1016/0362-546X(78)90060-3 81m:76047 0429.76062 CrossrefGoogle Scholar[5] David Kinderlehrer and , Guido Stampacchia, An introduction to variational inequalities and their applications, Pure and Applied Mathematics, Vol. 88, Academic Press Inc. [Harcourt Brace Jovanovich Publishers], New York, 1980xiv+313 81g:49013 0457.35001 Google Scholar[6] J. L. Lions, Quelques méthodes de résolution des problèmes aux limites non linéaires, Dunod, Paris, 1969xx+554 41:4326 0189.40603 Google Scholar Previous article Next article FiguresRelatedReferencesCited ByDetails Coupled Bulk-Surface Free Boundary Problems Arising from a Mathematical Model of Receptor-Ligand DynamicsCharles M. Elliott, Thomas Ranner, and Chandrasekhar VenkataramanSIAM Journal on Mathematical Analysis, Vol. 49, No. 1 | 8 February 2017AbstractPDF (6324 KB)On the State Estimation for Stochastic Distributed Parameter Systems with Dynamic Boundary ConditionsProceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications, Vol. 1998, No. 0 | 5 May 1998 Cross Ref A Class of Codimension-Two Free Boundary ProblemsS. D. Howison, J. D. Morgan, and J. R. OckendonSIAM Review, Vol. 39, No. 2 | 2 August 2006AbstractPDF (836 KB)Real-world free boundary problemsMathematics in Industrial Problems | 1 Jan 1991 Cross Ref A Class of Moving Boundary Problems Arising in IndustryApplied and Industrial Mathematics | 1 Jan 1991 Cross Ref A perturbation problem related to the highly compressible behaviour of a fluid in a thin porous layerApplicable Analysis, Vol. 33, No. 3-4 | 2 May 2007 Cross Ref Nonlinear semigroup approach to a class of evolution equations arising from percolation in sandbanksAnnali di Matematica Pura ed Applicata, Vol. 149, No. 1 | 1 Dec 1987 Cross Ref Error estimates for an approximation of a problem of percolation in gently sloping beachesCalcolo, Vol. 22, No. 3 | 1 Jul 1985 Cross Ref Volume 16, Issue 5| 1985SIAM Journal on Mathematical Analysis907-1119 History Submitted:24 April 1984Published online:17 February 2012 InformationCopyright © 1985 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0516071Article page range:pp. 941-954ISSN (print):0036-1410ISSN (online):1095-7154Publisher:Society for Industrial and Applied Mathematics