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Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire(1)
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A remark on the Liouville problem for stationary Navier-Stokes equations in Lorentz and Morrey spaces
ArticleAbstract: The Liouville problem for the stationary Navier-Stokes equations on the whole space is a challengingPalabras claves:Liouville theorem, Lorentz spaces, Morrey spaces, Navier-Stokes equations, Stationary systemAutores:Oscar JarrínFuentes:googlescopusFrequency decay for Navier–Stokes stationary solutions
ArticleAbstract: We consider stationary Navier–Stokes equations in R 3 with a regular external force and we prove thePalabras claves:Autores:Chamorro D., Lemarié-Rieusset P.G., Oscar JarrínFuentes:googlescopusDiscretely Self-Similar Solutions for 3D MHD Equations and Global Weak Solutions in Weighted L<sup>2</sup> Spaces
ArticleAbstract: This paper deals with the existence of global weak solutions for 3D MHD equations when the initial dPalabras claves:Discretely self-similar solutions, Energy controls, MHD equations, Weighted L spaces 2Autores:Oscar Jarrín, Pedro Gabriel Fernández-DalgoFuentes:scopusOn decay properties and asymptotic behavior of solutions to a non-local perturbed KdV equation
ArticleAbstract: We consider the KdV equation with an additional non-local perturbation term defined through the HilbPalabras claves:Decay properties, Hilbert Transform, KdV equation, OST-equation, Persistence problemAutores:Fernando Cortez, Oscar JarrínFuentes:scopusOn the Local Regularity Theory for the Magnetohydrodynamic Equations
ArticleAbstract: Local regularity results are obtained for the MHD equations using as global framework the setting ofPalabras claves:local regularity theory, MHD equations, parabolic Morrey spacesAutores:Chamorro D., Fernando Cortez, He J., Oscar JarrínFuentes:scopusWeak-strong uniqueness in weighted L<sup>2</sup> spaces and weak suitable solutions in local Morrey spaces for the MHD equations
ArticleAbstract: We consider here the magneto-hydrodynamics (MHD) equations on the whole space. For the 3D case, in tPalabras claves:Global weak solutions, MHD equations, Multipliers spaces, Local Morrey spaces, Suitable solutions, Weak-strong uniquenessAutores:Oscar Jarrín, Pedro Gabriel Fernández-DalgoFuentes:googlescopusSome Liouville theorems for stationary Navier-Stokes equations in Lebesgue and Morrey spaces
ArticleAbstract: Uniqueness of Leray solutions of the 3D Navier-Stokes equations is a challenging open problem. In thPalabras claves:Liouville theorem, Morrey spaces, Navier–Stokes equations, Stationary systemAutores:Chamorro D., Lemarié-Rieusset P.G., Oscar JarrínFuentes:googlescopusSpatial behavior of solutions for a large class of non-local pde’s arising from stratified flows
ArticleAbstract: We propose a theoretical model of a non-local dispersive-dissipative equation which contains as a paPalabras claves:Autores:Fernando Cortez, Oscar JarrínFuentes:googlescopus