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A crypto-regularity result for the micropolar fluids equations
ArticleAbstract: In the analysis of PDEs, regularity of often measured in terms of Sobolev, Hölder, Besov or LipschitPalabras claves:Local regularity, Micropolar equation, Morrey spacesAutores:Chamorro D., David LlerenaFuentes:scopusFractional 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:googlescopusOn 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:scopusInterior ϵ -regularity theory for the solutions of the magneto-micropolar equations with a perturbation term
ArticleAbstract: We develop here a particular version of the partial regularity theory for the magneto-micropolar equPalabras claves:Magneto-micropolar equations, Morrey spaces, Partial regularity theoryAutores:Chamorro D., David LlerenaFuentes:scopusSome 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:googlescopus