Multidimensional Hele-Shaw flows modelling Stokesian fluids

DOI10.1002/mma.1053zbMath1169.35064OpenAlexW2001514000MaRDI QIDQ3615501

Joachim Escher, Bogdan-Vasile Matioc

Publication date: 20 March 2009

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1053

zbMATH Keywords

classical solutionHele-Shaw flowstability of equilibriaStokesian fluid

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Free boundary problems for PDEs (35R35) Other free boundary flows; Hele-Shaw flows (76D27)

Related Items

Some geometrical properties of free boundaries in the Hele-Shaw flows ⋮ Steady-state solutions for the Muskat problem

Cites Work

• A moving boundary problem for periodic Stokesian Hele-Shaw flows
• Perturbation theory for linear operators.
• Maximal regularity for a free boundary problem
• Analyticity of the interface in a free boundary problem
• Existence and Stability Results for Periodic Stokesian Hele–Shaw Flows
• Classical Solutions of Multidimensional Hele--Shaw Models
• Analytic semigroups and optimal regularity in parabolic problems
• Stability of the equilibria for spatially periodic flows in porous media
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