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Blow-up for the b-family of equations
ArticleAbstract: In this paper, we consider the b-family of equations on the torus ut−utxx+(b + 1)uux=buxuxx+uuxxx, wPalabras claves:b - family of equations, blow-up local criterion, Camassa - Holm, Degasperis - ProcesiAutores:Fernando CortezFuentes:scopusBlowup for the nonlinear heat equation with small initial data in scale-invariant Besov norms
ArticleAbstract: We consider the Cauchy problem of the nonlinear heat equation u t −Δu=u b ,u(0,x)=u 0 , with b≥2 andPalabras claves:Besov, Blowup, Nonlinear heat equationAutores:Brandolese L., Fernando CortezFuentes:scopusBlowup issues for a class of nonlinear dispersive wave equations
ArticleAbstract: In this paper we consider the nonlinear dispersive wave equation on the real line, ut-utxx+[f(u)]x-[Palabras claves:Camassa-Holm, Rod equation, Shallow water, Wave breakingAutores:Brandolese L., Fernando CortezFuentes: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 Dynamics of Zero-Speed Solutions for Camassa-Holm-Type Equations
ArticleAbstract: In this paper, we consider globally defined solutions of Camassa-Holm (CH)-type equations outside thPalabras claves:Autores:Alejo M.A., Fernando Cortez, Kwak C., Muñoz C.Fuentes: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:scopusPDEs in moving time dependent domains
ArticleAbstract:Palabras claves:Autores:Fernando Cortez, Rodríguez-Bernal A.Fuentes:scopusSpatial 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