Free boundary problems occurring in planar fluid dynamics

DOI10.1016/0362-546X(89)90055-2zbMath0676.35087OpenAlexW1990678788MaRDI QIDQ3831383

Robert P. Gilbert, Guo Chun Wen

Publication date: 1989

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(89)90055-2

zbMATH Keywords

conformal mappingscompressible gasquasiconformal mappingssubsonic flowoil-water interfaceseepage problemsnonisotropic Hele Shaw flow

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Free boundary problems for PDEs (35R35) Quasiconformal mappings in the complex plane (30C62)

Related Items (5)

An inverse boundary value problem for cavity flows in gas dynamics ⋮ Two free boundary problems occuring in planar filtrations ⋮ On p-harmonic functions, convex duality and an asymptotic formula for injection mould filling ⋮ Academic contributions of Professor Guochun Wen ⋮ Some complex equations arising in Hele Shaw flow

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On a two-dimensional free-boundary problem
• On a differential equation arising in a Hele Shaw flow moving boundary problem
• Quadrature domains
• Applications of Variational Inequalities to a Moving Boundary Problem for Hele Shaw Flows
• The Ill-Posed Hele-Shaw Model and The Stefan Problem for Supercooled Water
• Hele-Shaw type flows in Rn
• A variational inequality approach to Hele-Shaw flow with a moving boundary
• New results on some classical parabolic free-boundary problems
• Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel

This page was built for publication: Free boundary problems occurring in planar fluid dynamics