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Growth in the Muskat problem (Q5001252)

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scientific article; zbMATH DE number 7372537

Language	Label	Description	Also known as
English	Growth in the Muskat problem	scientific article; zbMATH DE number 7372537

Statements

scholarly article

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Growth in the Muskat problem (English)

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Rafael Granero-Belinchón

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Mathematical Modelling of Natural Phenomena

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publication date

19 July 2021

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full work available at URL

https://arxiv.org/abs/1904.00294

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zbMATH Keywords

fluid interface

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Muskat equation

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global strong solution

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regularity criteria

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MaRDI profile type

MaRDI publication profile

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The zero surface tension limit of two-dimensional interfacial Darcy flow

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Well-posedness of two-phase Hele–Shaw flow without surface tension

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Well-posedness of the Muskat problem with \(H^2\) initial data

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Rigorous asymptotic models of water waves

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Global existence for some transport equations with nonlocal velocity

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Fourier Analysis and Nonlinear Partial Differential Equations

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Vanishing viscosity limits and long-time behavior for 2D quasi-geostrophic equations

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Local solvability and turning for the inhomogeneous Muskat problem

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Global well-posedness for the two-dimensional Muskat problem with slope less than 1

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Rayleigh-Taylor breakdown for the Muskat problem with applications to water waves

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Breakdown of smoothness for the Muskat problem

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Splash singularities for the one-phase Muskat problem in stable regimes

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Degraded mixing solutions for the Muskat problem

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Generalized surface quasi-geostrophic equations with singular velocities

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The Hele--Shaw problem and area-preserving curve-shortening motions

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Global solutions for small data to the Hele-Shaw problem

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Formation of strong fronts in the 2-D quasigeostrophic thermal active scalar

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Singular front formation in a model for quasigeostrophic flow

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On the global existence for the Muskat problem

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On the Muskat problem: Global in time results in 2D and 3D

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Global regularity for 2D Muskat equations with finite slope

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A maximum principle applied to quasi-geostrophic equations

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Contour dynamics of incompressible 3-D fluids in a porous medium with different densities

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A maximum principle for the Muskat problem for fluids with different densities

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Absence of squirt singularities for the multi-phase Muskat problem

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Non-splat singularity for the one-phase Muskat problem

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Interface evolution: water waves in 2-D

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Interface evolution: the Hele-Shaw and Muskat problems

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Porous media: The Muskat problem in three dimensions

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The confined Muskat problem: differences with the deep water regime

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A note on stability shifting for the Muskat problem

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A note on stability shifting for the Muskat problem. II: From stable to unstable and back to stable

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Well-posedness of the free-surface incompressible Euler equations with or without surface tension

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On the impossibility of finite-time splash singularities for vortex sheets

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On the decay properties of solutions to a class of Schrödinger equations

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On the parabolicity of the Muskat problem: Well-posedness, fingering, and stability results

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Classical solutions for Hele-Shaw models with surface tension

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A center manifold analysis for the Mullins-Sekerka model

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A generalized Rayleigh–Taylor condition for the Muskat problem

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The domain of parabolicity for the Muskat problem

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On the absence of splash singularities in the case of two-fluid interfaces

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Piecewise constant subsolutions for the Muskat problem

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Global well-posedness for an advection-diffusion equation arising in magneto-geostrophic dynamics

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On the ill/well-posedness and nonlinear instability of the magneto-geostrophic equations

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On the supercritically diffusive magnetogeostrophic equations

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The magneto-geostrophic equations: a survey

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Free boundary problems arising in tumor models

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Existence for the \(\alpha \)-patch model and the QG sharp front in Sobolev spaces

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Absence of splash singularities for surface quasi-geostrophic sharp fronts and the Muskat problem

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On the Muskat problem with viscosity jump: global in time results

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On turning waves for the inhomogeneous Muskat problem: a computer-assisted proof

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Global Existence for the Confined Muskat Problem

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Well-posedness and decay to equilibrium for the Muskat problem with discontinuous permeability

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Asymptotic models for free boundary flow in porous media

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Homogenization and porous media

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Global well-posedness for the critical 2D dissipative quasi-geostrophic equation

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Global existence for the critical dissipative surface quasi-geostrophic equation

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The Navier-Stokes Problem in the 21st Century

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A two-dimensional model for quasigeostrophic flow: Comparison with the two-dimensional Euler flow

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Vorticity and Incompressible Flow

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The Muskat problem in two dimensions: equivalence of formulations, well-posedness, and regularity results

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Viscous displacement in porous media: the Muskat problem in 2D

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Well-posedness and stability results for a quasilinear periodic Muskat problem

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Convection in Porous Media

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Large time decay estimates for the Muskat equation

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Local-existence for the inhomogeneous Muskat problem

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On the Muskat problem

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On the evolution of sharp fronts for the quasi‐geostrophic equation

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The penetration of a fluid into a porous medium or Hele-Shaw cell containing a more viscous liquid

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Global existence, singular solutions, and ill-posedness for the Muskat problem

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Relaxation of the incompressible porous media equation

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On the existence of solutions to the Muskat problem with surface tension

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1051/MMNP/2019021

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Sitelinks

Mathematics(1 entry)

mardi Publication:5001252

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