The existence and uniqueness of analytic solutions for a moving boundary problem for Hele-Shaw flows in the plane

DOI10.1016/0362-546X(94)90237-2zbMath0826.35142OpenAlexW2010751224MaRDI QIDQ4316982

Michael Reissig

Publication date: 19 December 1994

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

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90237-2

zbMATH Keywords

Hele-Shaw problemCauchy-Kowalewski problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Cauchy-Kovalevskaya theorems (35A10) Free boundary problems for PDEs (35R35)

Related Items

Existence and uniqueness of analytic solution for unsteady crystals with zero surface tension ⋮ Existence and uniqueness of analytic solution for Rayleigh-Taylor problem ⋮ On classical solvability for the Hele-Shaw moving boundary problems with kinetic undercooling regularization ⋮ Hele-Shaw flow with a small obstacle ⋮ Global classical solution of quasi-stationary Stefan free boundary problem ⋮ Local smoothing effect and existence for the one-phase Hele–Shaw problem with zero surface tension ⋮ MOVING STONE IN THE HELE‐SHAW FLOW

Cites Work

• On a differential equation arising in a Hele Shaw flow moving boundary problem
• A note on a theorem of Nirenberg
• A simplified proof for a moving boundary problem for Hele-Shaw flows in the plane
• Applications of Variational Inequalities to a Moving Boundary Problem for Hele Shaw Flows
• Hele-Shaw type flows in Rn
• Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel
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