Well-posedness of the Muskat problem in subcritical Lp-Sobolev spaces
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Publication:5056766
DOI10.1017/S0956792520000480zbMath1504.35269arXiv2003.07656MaRDI QIDQ5056766
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Publication date: 8 December 2022
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.07656
Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Singular and oscillatory integrals (Calderón-Zygmund, etc.) (42B20) Flows in porous media; filtration; seepage (76S05) Other free boundary flows; Hele-Shaw flows (76D27) Moving boundary problems for PDEs (35R37)
Related Items (5)
The multiphase Muskat problem with equal viscosities in two dimensions ⋮ Two-phase Stokes flow by capillarity in the plane: the case of different viscosities ⋮ Capillarity-driven Stokes flow: the one-phase problem as small viscosity limit ⋮ A new reformulation of the Muskat problem with surface tension ⋮ Regularity of solutions to the Muskat equation
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