On classical solvability for the Hele-Shaw moving boundary problems with kinetic undercooling regularization

DOI10.1017/S0956792500001960zbMath0844.35089MaRDI QIDQ4865740

Yu. E. Khokhlov, Michael Reissig

Publication date: 28 February 1996

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

zbMATH Keywords

kinetic undercooling regularizationHele-Shaw moving boundary problemslocal existence of analytic solutions

Mathematics Subject Classification ID

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

Related Items (7)

Hele-Shaw flows with nonlinear kinetic undercooling regularization ⋮ Simulating the Hele-Shaw flow in the presence of various obstacles and moving particles ⋮ Real variable Hele-Shaw problem with kinetic undercooling ⋮ Hele-Shaw flow with a small obstacle ⋮ Univalent functions in the dynamics of viscous flows ⋮ MOVING STONE IN THE HELE‐SHAW FLOW ⋮ Local and global existence results for anisotropic Hele–Shaw flows

Cites Work

• Unnamed Item
• A simplified proof for a moving boundary problem for Hele-Shaw flows in the plane
• SINGULARITY DEVELOPMENT IN MOVING-BOUNDARY PROBLEMS
• Applications of Variational Inequalities to a Moving Boundary Problem for Hele Shaw Flows
• Viscous fingering in Hele-Shaw cells
• Hele-Shaw type flows in Rn
• The existence and uniqueness of analytic solutions for a moving boundary problem for Hele-Shaw flows in the plane
• The Stefan Problem with a Kinetic Condition at the Free Boundary

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