The vanishing surface tension limit of the Muskat problem

DOI10.1007/s00220-021-03980-9zbMath1472.35295arXiv2001.10473OpenAlexW3129143225MaRDI QIDQ2662858

Patrick T. Flynn, Huy Quang Nguyen

Publication date: 15 April 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2001.10473

zbMATH Keywords

gravitysurface tensionporous mediaMuskat problemRayleigh-Taylor conditioncapillarity forces

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Capillarity (surface tension) for incompressible viscous fluids (76D45) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Liquid-liquid two component flows (76T06)

Related Items

A note on the dissipation for the general Muskat problem, The multiphase Muskat problem with equal viscosities in two dimensions, Well-posedness of the Muskat problem in subcritical L_p-Sobolev spaces, A paradifferential approach for well-posedness of the Muskat problem, Global well‐posedness for the one‐phase Muskat problem, Functional inequalities and strong Lyapunov functionals for free surface flows in fluid dynamics, A new reformulation of the Muskat problem with surface tension, Critical local well‐posedness for the fully nonlinear Peskin problem, Global Regularity for Gravity Unstable Muskat Bubbles, The Muskat problem with surface tension and equal viscosities in subcritical \(L_p\)-Sobolev spaces, Global solutions for the Muskat problem in the scaling invariant Besov space \(\dot{B}_{\infty , 1}^1\)

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