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Self-similar solutions for the Muskat equation (Q2118928)

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Language	Label	Description	Also known as
English	Self-similar solutions for the Muskat equation	scientific article

Statements

scholarly article

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Self-similar solutions for the Muskat equation (English)

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Eduardo García-Juárez

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Javier Gómez-Serrano

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Benoit Pausader

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Huy Quang Nguyen

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Advances in Mathematics

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publication date

23 March 2022

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full work available at URL

https://arxiv.org/abs/2109.02565

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zbMATH Keywords

Muskat

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self-similar

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corner

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Hele-Shaw

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MaRDI profile type

MaRDI publication profile

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Convexity and the Hele-Shaw equation

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Paralinearization of the Muskat equation and application to the Cauchy problem

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Lyapunov functions, identities and the Cauchy problem for the Hele-Shaw equation

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On the Cauchy problem for the Muskat equation. II: Critical initial data

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On the Cauchy problem for the Muskat equation with non-Lipschitz initial data

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

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The Two-Phase Hele-Shaw Problem with a Nonregular Initial Interface and Without Surface Tension

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The Muskat problem with surface tension and a nonregular initial interface

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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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Some free boundary problems recast as nonlocal parabolic equations

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The Muskat problem with 𝐶¹ data

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

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Regularity of one-phase Stefan problem near Lipschitz initial data

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On the global existence for the Muskat problem

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Global regularity for 2D Muskat equations with finite slope

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Interface evolution: the Hele-Shaw and Muskat problems

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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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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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Global well-posedness for the 2D stable Muskat problem in $H^{3/2}$

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On the Two‐Dimensional Muskat Problem with Monotone Large Initial Data

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Modelling and analysis of the Muskat problem for thin fluid layers

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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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Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium

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

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Uniqueness and existence results on the Hele-Shaw and the Stefan problems

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Long time regularity of solutions of the Hele--Shaw problem

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Regularity of the free boundary for the one phase Hele--Shaw problem

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Self-Similarity in a Thin Film Muskat Problem

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A method for the solution of certain non-linear problems in least squares

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Collapse versus blow-up and global existence in the generalized Constantin-Lax-Majda equation

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An Algorithm for Least-Squares Estimation of Nonlinear Parameters

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

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Global solutions for the Muskat problem in the scaling invariant Besov space \(\dot{B}_{\infty , 1}^1\)

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A paradifferential approach for well-posedness of the Muskat problem

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

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Global classical solution of Muskat free boundary problem.

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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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10.1016/J.AIM.2022.108294

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Sitelinks

Mathematics(1 entry)

mardi Publication:2118928

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