The second iterate of the Muskat equation in supercritical spaces (Q6557843)

scientific article; zbMATH DE number 7867458

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English	The second iterate of the Muskat equation in supercritical spaces	scientific article; zbMATH DE number 7867458

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title

The second iterate of the Muskat equation in supercritical spaces (English)

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18 June 2024

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zbMATH Keywords

ill-posedness

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homogeneous Besov space

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Darcy porous medium flow

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Taylor expansion

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second Picard iteration

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Publication

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cites work

Well-posedness of the Muskat problem in subcritical Lp-Sobolev spaces

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Paralinearization of the Muskat equation and application to the Cauchy problem

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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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Quasilinearization of the 3D Muskat equation, and applications to the critical Cauchy problem

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Endpoint Sobolev theory for the Muskat equation

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Global existence and decay of the inhomogeneous Muskat problem with Lipschitz initial data

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Strong illposedness of the incompressible Euler equation in integer $C^m$ spaces

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Ill-posedness of the Navier-Stokes equations in a critical space in 3D

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Existence time for the Camassa-Holm equation and the critical Sobolev index

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

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Turning waves and breakdown for incompressible flows

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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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Ill-posedness of the basic equations of fluid dynamics in Besov spaces

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Ill-posedness for subcritical hyperdissipative Navier-Stokes equations in the largest critical spaces

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

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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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Porous media: The Muskat problem in three dimensions

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

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A note on interface dynamics for convection in porous media

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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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Global well‐posedness for the one‐phase Muskat problem

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On the second iterate for critically diffusive active scalar equations

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Global Regularity for Gravity Unstable Muskat Bubbles

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

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

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The second iterate for the Navier-Stokes equation

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Ill-posedness issue for the drift diffusion system in the homogeneous Besov spaces

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Ill-posedness for the compressible Navier-Stokes equations under barotropic condition in limiting Besov spaces

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Ill-posedness for the 2D viscous shallow water equations in the critical Besov spaces

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Norm inflation for the Boussinesq system

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

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

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Local ill-posedness of the incompressible Euler equations in $C^1$ and $B^1_{\infty,1}$

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Two fluid systems in porous media. The encroachment of water into an oil sand.

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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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Large time decay estimates for the Muskat equation

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Ill-posedness of the stationary Navier-Stokes equations in Besov spaces

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Ill-posedness for the Navier-Stokes equations in critical Besov spaces $\dot{B}_{\infty, q}^{- 1}$

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Identifiers

Mathematics Subject Classification ID

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10.1088/1361-6544/AD2B13

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Sitelinks

Mathematics(1 entry)

mardi Publication:6557843