GLOBAL WELL-POSEDNESS OF 2D HYPERBOLIC PERTURBATION OF THE NAVIER-STOKES SYSTEM IN A THIN STRIP
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Resumen en inglés
In this paper we will study the global well-posedness of the two dimensional anisotropic Hyperbolic perturbation of the Navier-Stokes system with non slip boundary condition in a thin strip domain, for a small initial data, ...Leer más >
In this paper we will study the global well-posedness of the two dimensional anisotropic Hyperbolic perturbation of the Navier-Stokes system with non slip boundary condition in a thin strip domain, for a small initial data, which this data is analytic in the tangential variable. The main idea of the proof is motivated by the paper of [31, 43]. The additional difficulties is the appearance of the term ∂ 2 t , we will use this term will help us to control the nonlinear part of the hyperbolic system.< Leer menos
Palabras clave en inglés
2010 Mathematics Subject Classification. 35Q30
76D03 Hyperbolic Perturbation Of NS
Littlewood-Paley theory
Well-posedness
Orígen
Importado de HalCentros de investigación