Hele-Shaw flows with nonlinear kinetic undercooling regularization

DOI10.1016/S0362-546X(01)00745-3zbMath1205.76090OpenAlexW1984938509MaRDI QIDQ1612564

Nikolai Pleshchinskii, Michael Reissig

Publication date: 25 August 2002

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0362-546x(01)00745-3

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Free boundary problems for PDEs (35R35) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items (5)

Real variable Hele-Shaw problem with kinetic undercooling ⋮ Rigorous results in existence and selection of Saffman–Taylor fingers by kinetic undercooling ⋮ A REVIEW OF ONE-PHASE HELE-SHAW FLOWS AND A LEVEL-SET METHOD FOR NONSTANDARD CONFIGURATIONS ⋮ Analytic solution to an interfacial flow with kinetic undercooling in a time-dependent gap Hele-Shaw cell ⋮ Corner and finger formation in Hele-Shaw flow with kinetic undercooling regularisation

Cites Work

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• A note on a theorem of Nirenberg
• Applications of Variational Inequalities to a Moving Boundary Problem for Hele Shaw Flows
• Hele-Shaw type flows in Rn
• About a Nonstationary Mixed Problem for Holomorphic Functions Arising by the Study of a Potential Flow Past a Circular Cylinder with Permeable Surface
• Analytical and numerical treatment of a complex model for Hele-Shaw moving boundary value problems with kinetic undercooling regularization
• Hyperbolic evolution equations for moving boundary problems
• On classical solvability for the Hele-Shaw moving boundary problems with kinetic undercooling regularization

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