GLOBAL EXISTENCE FOR NAVIER-STOKES SYSTEM WITH STRONG DISSIPATION IN ONE DIRECTION
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en
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Ce document a été publié dans
Science China Mathematics. 2019
Science China Press
Résumé en anglais
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 ...Lire la suite >
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.< Réduire
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