On a Class of Geometry-Driven Free Boundary Problems

DOI10.1137/S0036139999357988zbMath1056.30039MaRDI QIDQ2783741

Darren G. Crowdy

Publication date: 17 April 2002

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

zbMATH Keywords

Cauchy transformsfree boundary value problems

Mathematics Subject Classification ID

Boundary value problems in the complex plane (30E25) Free boundary problems for PDEs (35R35) Complex variables methods applied to problems in fluid mechanics (76M40) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (7)

Linear stability analysis of capillary instabilities for concentric cylindrical shells ⋮ Free-boundary models of a meltwater conduit ⋮ Laplacian growth and Whitham equations of soliton theory ⋮ Squeeze flow of multiply-connected fluid domains in a Hele-Shaw cell ⋮ Exact solutions for the formation of stagnant caps of insoluble surfactant on a planar free surface ⋮ Dynamics of poles in two-dimensional hydrodynamics with free surface: new constants of motion ⋮ Generalised Hele-Shaw flow: A Schwarz function approach

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