Open AccessÉquation anisotrope de Navier-Stokes dans des espaces critiques
Author(s) -
Marius Paicu
Publication year - 2005
Publication title -
revista matemática iberoamericana
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.569
H-Index - 52
eISSN - 2235-0616
pISSN - 0213-2230
DOI - 10.4171/rmi/420
Subject(s) - scaling , mathematics , viscosity , navier–stokes equations , invariant (physics) , mathematical analysis , physics , mathematical physics , mechanics , thermodynamics , geometry , compressibility
We study the tridimensional Navier-Stokes equation when the value of the vertical viscosity is zero, in a critical space (invariant by the scaling). We shall prove local in time existence of the solution, respectively global in time when the initial data is small compared with the horizontal viscosity.
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