- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:44
Revista Matemática Iberoamericana
Rev. Mat. Iberoamericana
RMI
0213-2230
2235-0616
General
10.4171/RMI
http://www.ems-ph.org/doi/10.4171/RMI
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society (from 2012)
21
2005
1
Équation anisotrope de Navier-Stokes dans des espaces critiques
Marius
Paicu
Université Paris-Sud, ORSAY CEDEX, FRANCE
Navier-Stokes equation, critical spaces, anisotropic viscosity
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.
Partial differential equations
Fluid mechanics
General
179
235
10.4171/RMI/420
http://www.ems-ph.org/doi/10.4171/RMI/420