The solution of a class of free boundary problems

DOI10.1098/rspa.1997.0034zbMath0879.76099OpenAlexW2077198983MaRDI QIDQ3128399

Richard V. Craster

Publication date: 29 January 1998

Published in: Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1997.0034

zbMATH Keywords

complex variable methodboundary value problemsincompressible flowsLaplace equationhodograph planeinfiltrationMellin's transformcoastal aquifercurvilinear polygondam problem with evaporationintermediate complex planeirrigator

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Flows in porous media; filtration; seepage (76S05) Conformal mappings of special domains (30C20) Free boundary problems for PDEs (35R35)

Related Items (4)

Solutions of a free boundary problem in a doubly connected domain via a circular-arc polygon ⋮ Generalized hypergeometric solutions of the Heun equation ⋮ Resolving singularities and monodromy reduction of Fuchsian connections ⋮ Analytic formulation of Cauchy integrals for boundaries with curvilinear geometry

This page was built for publication: The solution of a class of free boundary problems