Local-existence for the inhomogeneous Muskat problem
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Publication:5268505
DOI10.1088/1361-6544/aa6691zbMath1365.76310arXiv1604.01660OpenAlexW2338134075MaRDI QIDQ5268505
Publication date: 20 June 2017
Published in: Nonlinearity (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.01660
PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Free boundary problems for PDEs (35R35)
Related Items (8)
On the splash and splat singularities for the one-phase inhomogeneous Muskat problem ⋮ The multiphase Muskat problem with equal viscosities in two dimensions ⋮ A paradifferential approach for well-posedness of the Muskat problem ⋮ Global existence and decay of the inhomogeneous Muskat problem with Lipschitz initial data ⋮ On the dynamics of thin layers of viscous flows inside another viscous fluid ⋮ 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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