Global well‐posedness for the one‐phase Muskat problem (Q6082690)

scientific article; zbMATH DE number 7757244

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English	Global well‐posedness for the one‐phase Muskat problem	scientific article; zbMATH DE number 7757244

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instance of

scholarly article

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title

Global well‐posedness for the one‐phase Muskat problem (English)

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Communications on Pure and Applied Mathematics

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publication date

30 October 2023

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full work available at URL

https://arxiv.org/abs/2103.02656

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zbMATH Keywords

global-in-time Lipschitz solution

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MaRDI profile type

MaRDI publication profile

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cites work

On the Cauchy problem for gravity water waves

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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

0 references

Endpoint Sobolev theory for the Muskat equation

0 references

Well-posedness of two-phase Darcy flow in 3D

0 references

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

0 references

Regularity of the free boundary in parabolic phase-transition problems

0 references

Q5462452

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Regularity theory for fully nonlinear integro-differential equations

0 references

Q3480625

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

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

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Degraded mixing solutions for the Muskat problem

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Localized mixing zone for Muskat bubbles and turned interfaces

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Some free boundary problems recast as nonlocal parabolic equations

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

0 references

Well-posedness of the Muskat problem with $H^2$ initial data

0 references

Regularity of one-phase Stefan problem near Lipschitz initial data

0 references

Local regularization of the one-phase Hele-Shaw flow

0 references

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

0 references

On the global existence for the Muskat problem

0 references

Global regularity for 2D Muskat equations with finite slope

0 references

Global solutions for small data to the Hele-Shaw problem

0 references

Interface evolution: the Hele-Shaw and Muskat problems

0 references

Porous media: The Muskat problem in three dimensions

0 references

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

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Absence of squirt singularities for the multi-phase Muskat problem

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

0 references

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

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Non-splat singularity for the one-phase Muskat problem

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User’s guide to viscosity solutions of second order partial differential equations

0 references

Viscosity Solutions of Hamilton-Jacobi Equations

0 references

A Paradifferential Reduction for the Gravity-capillary Waves System at Low Regularity and Applications

0 references

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

0 references

On $C^1$, $C^2$, and weak type-$(1,1)$ estimates for linear elliptic operators. II

0 references

Boundary Gradient Estimates for Parabolic and Elliptic Systems from Linear Laminates

0 references

Évolution d'une interface par capillarité et diffusion de volume. I: Existence locale en temps

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A variational inequality approach to Hele-Shaw flow with a moving boundary

0 references

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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Potential techniques for boundary value problems on $C^1$-domains

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The vanishing surface tension limit of the Muskat problem

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Piecewise constant subsolutions for the Muskat problem

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

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

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Global well-posedness for the three dimensional Muskat problem in the critical Sobolev space

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

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Multiple Integrals in the Calculus of Variations and Nonlinear Elliptic Systems. (AM-105)

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Generalized Hessian matrix and second-order optimality conditions for problems with $C^{1,1}$ data

0 references

The inhomogeneous Dirichlet problem in Lipschitz domains

0 references

Q3284846

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

0 references

Viscosity Solutions for the Two-Phase Stefan Problem

0 references

Q5890172

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

0 references

H-principle for the 2-dimensional incompressible porous media equation with viscosity jump

0 references

On well-posedness of the Muskat problem with surface tension

0 references

A paradifferential approach for well-posedness of the Muskat problem

0 references

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

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On the differentiability of the solution to the Hamilton-Jacobi equation with critical fractional diffusion

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Layer potentials and regularity for the Dirichlet problem for Laplace's equation in Lipschitz domains

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Identifiers

zbMATH Open document ID

1526.35331

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arXiv ID

2103.02656

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6082690