A note on stability shifting for the Muskat problem
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Publication:2955793
DOI10.1098/rsta.2014.0278zbMath1353.76084arXiv1501.02694OpenAlexW3099453767WikidataQ41814548 ScholiaQ41814548MaRDI QIDQ2955793
Diego Cordoba, Andrej Zlatoš, Javier Gómez-Serrano
Publication date: 13 January 2017
Published in: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.02694
PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Flows in porous media; filtration; seepage (76S05) Free boundary problems for PDEs (35R35) Euler equations (35Q31)
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Cites Work
- Local solvability and turning for the inhomogeneous Muskat problem
- Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves
- Structural stability for the splash singularities of the water waves problem
- On the parabolicity of the Muskat problem: Well-posedness, fingering, and stability results
- A maximum principle for the Muskat problem for fluids with different densities
- Well-posedness of the Muskat problem with \(H^2\) initial data
- Quadrature methods for periodic singular and weakly singular Fredholm integral equations
- Nonlinear stability of the Muskat problem with capillary pressure at the free boundary
- On the global existence for the Muskat problem
- Contour dynamics of incompressible 3-D fluids in a porous medium with different densities
- Breakdown of smoothness for the Muskat problem
- On the Muskat problem: Global in time results in 2D and 3D
- Global existence, singular solutions, and ill-posedness for the Muskat problem
- On turning waves for the inhomogeneous Muskat problem: a computer-assisted proof
- Global Existence for the Confined Muskat Problem
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