IRREGULAR MORPHOLOGIES IN UNSTABLE HELE-SHAW FREE-BOUNDARY PROBLEMS

DOI10.1093/qjmam/43.3.387zbMath0704.73069OpenAlexW2001184299MaRDI QIDQ3484469

Andrew A. Lacey, Paul Wilmott, S. D. Howison, John R. Ockendon

Publication date: 1990

Published in: The Quarterly Journal of Mechanics and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/qjmam/43.3.387

zbMATH Keywords

singularitiessmall surface tensionblow-upanalytic continuationill-posed Hele-Shaw suction free-boundary problemthin `cracks'

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Fracture and damage (74R99) Flows in porous media; filtration; seepage (76S05) Ill-posed problems for PDEs (35R25) Free boundary problems for PDEs (35R35)

Related Items (8)

A Stefan-like problem with a kinetic condition and surface tension effects ⋮ Hele–Shaw flows with time-dependent free boundaries in which the fluid occupies a multiply-connected region ⋮ Hele Shaw Flows with Time-Dependent Free Boundaries Involving Injection Through Slits ⋮ Numerical study of Hele-Shaw flow with suction ⋮ The role of the Crank-Gupta model in the theory of free and moving boundary problems ⋮ Direct and inverse balayage — Some new developments in classical potential theory ⋮ Boundary integral methods for multicomponent fluids and multiphase materials. ⋮ Viscous shocks in Hele-Shaw flow and Stokes phenomena of the Painlevé I transcendent

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