GLOBAL EXISTENCE FOR NAVIER-STOKES SYSTEM WITH STRONG DISSIPATION IN ONE DIRECTION
Language
en
Article de revue
This item was published in
Science China Mathematics. 2019
Science China Press
English Abstract
We consider the 3D incompressible Navier-Stokes equations with different vis-cous coefficients in each variables. In particular, when one of this viscous coefficient is large enough compared to the initial data, we prove ...Read more >
We consider the 3D incompressible Navier-Stokes equations with different vis-cous coefficients in each variables. In particular, when one of this viscous coefficient is large enough compared to the initial data, we prove the global well-posedness of this problem. More generally, we obtain the existence of a global strong solution when the initial data verify an anisotropic smallness condition which take into account the different role of the horizontal and vertical viscosity.Read less <
Origin
Hal imported