GLOBAL WELL-POSEDNESS OF 2D HYPERBOLIC PERTURBATION OF THE NAVIER-STOKES SYSTEM IN A THIN STRIP
Language
en
Document de travail - Pré-publication
English Abstract
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, ...Read more >
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.Read less <
English Keywords
2010 Mathematics Subject Classification. 35Q30
76D03 Hyperbolic Perturbation Of NS
Littlewood-Paley theory
Well-posedness
Origin
Hal imported