Study of Anisotropic MHD system in Anisotropic Sobolev spaces

Jamel Ben Ameur; Ridha Selmi

Displaying similar documents to “Study of Anisotropic MHD system in Anisotropic Sobolev spaces”

Global well-posedness for the primitive equations with less regular initial data

Frédéric Charve (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

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This paper is devoted to the study of the lifespan of the solutions of the primitive equations for less regular initial data. We interpolate the globall well-posedness results for small initial data in ${\dot{H}}^{\frac{1}{2}}$ given by the Fujita-Kato theorem, and the result from [6] which gives global well-posedness if the Rossby parameter $ε$ is small enough, and for regular initial data (oscillating part in ${\dot{H}}^{\frac{1}{2}} \cap {\dot{H}}^{1}$ and quasigeostrophic part in $H^{1}$ ).

On the evolution equations of viscous gaseous stars

Paolo Secchi (1991)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Existence of solutions for compressible fluid models of Korteweg type

Raphaël Danchin, Benoît Desjardins (2001)

Annales de l'I.H.P. Analyse non linéaire

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The inviscid limit for density-dependent incompressible fluids

Raphaël Danchin (2006)

Annales de la faculté des sciences de Toulouse Mathématiques

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This paper is devoted to the study of smooth flows of density-dependent fluids in $ℝ^{N}$ or in the torus $𝕋^{N}$ . We aim at extending several classical results for the standard Euler or Navier-Stokes equations, to this new framework. Existence and uniqueness is stated on a time interval independent of the viscosity $μ$ when $μ$ goes to $0$ . A blow-up criterion involving the norm of vorticity in $L^{1} (0, T; L^{\infty})$ is also proved. Besides, we show that if the density-dependent Euler equations have a smooth...

A global existence result in Sobolev spaces for MHD system in the half-plane

Emanuela Casella, Paola Trebeschi (2002)

Rendiconti del Seminario Matematico della Università di Padova

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Capacitary strong type estimates in semilinear problems

D. Adams, Michel Pierre (1991)

Annales de l'institut Fourier

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We prove the equivalence of various capacitary strong type estimates. Some of them appear in the characterization of the measures $μ$ that are admissible data for the existence of solutions to semilinear elliptic problems with power growth. Other estimates are known to characterize the measures $μ$ for which the Sobolev space $W^{2, p}$ can be imbedded into $L^{p} (μ)$ . The motivation comes from the semilinear problems: simpler descriptions of admissible data are given. The proof surprisingly involves the...