Generalised Hele-Shaw flow: A Schwarz function approach

DOI10.1017/S0956792511000210zbMath1234.35321MaRDI QIDQ3106302

N. Robb McDonald

Publication date: 20 December 2011

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

free boundaryHele-ShawSchwarz functionHele-Shaw free boundary flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Free boundary problems for PDEs (35R35) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (6)

On the motion of unsteady translating bubbles in an unbounded Hele-Shaw cell ⋮ Poisson growth ⋮ On a two-phase Hele-Shaw problem with a time-dependent gap and distributions of sinks and sources ⋮ On a two-fluid Hele-Shaw problem with an elliptical interface ⋮ Multiple bubbles and fingers in a Hele-Shaw channel: complete set of steady solutions ⋮ From reflections to a uniform elliptic growth

Cites Work

• Unnamed Item
• Hele-Shaw flows with a free boundary produced by multipoles
• Self-similarity in Laplacian growth
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• On a Class of Geometry-Driven Free Boundary Problems
• The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid
• A NOTE ON THE MOTION OF BUBBLES IN A HELE-SHAW CELL AND POROUS MEDIUM
• A class of exact multipolar vortices
• Some Hele Shaw flows with time-dependent free boundaries
• Two-dimensional Stokes and Hele-Shaw flows with free surfaces
• Hele-Shaw flows with free boundaries in a corner or around a wedge Part I: Liquid at the vertex
• Inverse problems for a class of schwarz functions
• On nonlinear interface dynamics in Hele-Shaw flows
• On a generalized two-fluid Hele-Shaw flow
• Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel

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