Hele-Shaw type flows in Rn

DOI10.1016/0362-546X(86)90012-XzbMath0664.76041OpenAlexW2023800581MaRDI QIDQ3815721

Heinrich Begehr, Robert P. Gilbert

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0362-546x(86)90012-x

zbMATH Keywords

Hele-Shaw flowsvelocity potentialinjection points

Mathematics Subject Classification ID

Variational inequalities (49J40) Flows in porous media; filtration; seepage (76S05) Incompressible viscous fluids (76D99)

Related Items (13)

Hele-Shaw flows with nonlinear kinetic undercooling regularization ⋮ The transient lubrication problem as a generalized Hele-Shaw type problem ⋮ Properties of some balayage operators, with applications to quadrature domains and moving boundary problems ⋮ On a Hele-Shaw flow problem with free and solid boundary components ⋮ The existence and uniqueness of analytic solutions for a moving boundary problem for Hele-Shaw flows in the plane ⋮ On classical solvability for the Hele-Shaw moving boundary problems with kinetic undercooling regularization ⋮ Hele-Shaw flow with a small obstacle ⋮ Fluid flow in a medium distorted by a quasiconformal map can produce fractal boundaries ⋮ Non-newtonian Hele-Shaw flows in n ⩾2 dimensions ⋮ Moving boundary problems arising from degenerate elliptic equations ⋮ Heinrich Begehr: Citation for his 70th birthday ⋮ Free boundary problems occurring in planar fluid dynamics ⋮ On evolution equations for moving domains

Cites Work

• First order elliptic systems. A function theoretic approach
• Quadrature domains
• Analyticity of the free boundary for the Stefan problem
• Domains on which analytic functions satisfy quadrature identities
• The regularity of free boundaries in higher dimensions
• Applications of Variational Inequalities to the Existence Theorem on Quadrature Domains
• Applications of Variational Inequalities to a Moving Boundary Problem for Hele Shaw Flows
• The Ill-Posed Hele-Shaw Model and The Stefan Problem for Supercooled Water
• Compactness methods in free boundary problems
• Some Hele Shaw flows with time-dependent free boundaries
• A variational inequality approach to Hele-Shaw flow with a moving boundary
• New results on some classical parabolic free-boundary problems
• HELE SHAW FLOWS WITH TIME-DEPENDENT FREE BOUNDARIES IN INFINITE AND SEMI-INFINITE STRIPS
• Hele Shaw flows with a free boundary produced by the injection of fluid into a narrow channel
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