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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:googlescopusFractional Laplacians, extension problems and Lie groups
ArticleAbstract: We generalize some results concerning the fractional powers of the Laplace operator to the setting oPalabras claves:Autores:Chamorro D., 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 THE LONG-TIME BEHAVIOR FOR A DAMPED NAVIER-STOKES-BARDINA MODEL
ArticleAbstract: We consider a damped Navier-Stokes-Bardina model posed on the whole three-dimensional space. These ePalabras claves:asymptotically, Bardina's model, global attractor, Narvier-Stokes equations, orbital stability, stationary solutionsAutores:Fernando Cortez, Oscar JarrínFuentes: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 Kolmogorov Dissipation Law in a Damped Navier–Stokes Equation
ArticleAbstract: We consider here the Navier–Stokes equations in R3 with a stationary, divergence-free external forcePalabras claves:Energy cascade model, Kolmogorov’s dissipation law, Navier–Stokes equations, Turbulence theoryAutores:Chamorro D., Lemarié-Rieusset P.G., Oscar JarrínFuentes:googlescopusOn 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:scopusLiouville Theorems for a Stationary and Non-stationary Coupled System of Liquid Crystal Flows in Local Morrey Spaces
ArticleAbstract: We consider here the simplified Ericksen–Leslie system on the whole space R3. This system deals withPalabras claves:Liouville problem, local Morrey spaces, Simplified Ericksen–Leslie system, Weak suitable solutionsAutores:Oscar JarrínFuentes:googlescopusWeak-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:googlescopus