Steady-state solutions for the Muskat problem
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Publication:6157468
DOI10.1007/s13348-021-00348-zzbMath1521.34041OpenAlexW4220683075MaRDI QIDQ6157468
Publication date: 11 May 2023
Published in: Collectanea Mathematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13348-021-00348-z
Periodic solutions to ordinary differential equations (34C25) Capillarity (surface tension) for incompressible viscous fluids (76D45)
Cites Work
- Porous media: The Muskat problem in three dimensions
- Steady-state fingering patterns for a periodic Muskat problem
- On the parabolicity of the Muskat problem: Well-posedness, fingering, and stability results
- Interface evolution: the Hele-Shaw and Muskat problems
- On admissibility criteria for weak solutions of the Euler equations
- The Euler equations as a differential inclusion
- Évolution d'une interface par capillarité et diffusion de volume. I: Existence locale en temps
- Removing the stiffness from interfacial flows with surface tension
- A survey for the Muskat problem and a new estimate
- Well-posedness and stability results for some periodic Muskat problems
- Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium
- The zero surface tension limit of two-dimensional interfacial Darcy flow
- Contour dynamics of incompressible 3-D fluids in a porous medium with different densities
- Global existence, singular solutions, and ill-posedness for the Muskat problem
- Multidimensional Hele-Shaw flows modelling Stokesian fluids
- Viscous Fingering: An Optimal Bound on the Growth Rate of the Mixing Zone
- Classical Solutions of Multidimensional Hele--Shaw Models
- Fingering instabilities in vertical miscible displacement flows in porous media
- Lamination Convex Hull of Stationary Incompressible Porous Media Equations
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