Non-splat singularity for the one-phase Muskat problem
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Publication:2826777
DOI10.1090/tran6688zbMath1351.35130arXiv1409.2483OpenAlexW2013494248MaRDI QIDQ2826777
Diego Cordoba, Tania Pernas-Castaño
Publication date: 18 October 2016
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.2483
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Other free boundary flows; Hele-Shaw flows (76D27)
Related Items (13)
Global regularity for 2D Muskat equations with finite slope ⋮ On the splash and splat singularities for the one-phase inhomogeneous Muskat problem ⋮ Splash singularities for the one-phase Muskat problem in stable regimes ⋮ The multiphase Muskat problem with equal viscosities in two dimensions ⋮ Well-posedness of the Muskat problem with \(H^2\) initial data ⋮ Global well-posedness for the three dimensional Muskat problem in the critical Sobolev space ⋮ Global well‐posedness for the one‐phase Muskat problem ⋮ A survey for the Muskat problem and a new estimate ⋮ On an Asymptotic Model for Free Boundary Darcy Flow in Porous Media ⋮ On the Muskat problem with viscosity jump: global in time results ⋮ Well-posedness and decay to equilibrium for the Muskat problem with discontinuous permeability ⋮ Computer-assisted proofs in PDE: a survey ⋮ Growth in the Muskat problem
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