ON THE GLOBAL WELL-POSEDNESS OF 3-D NAVIER-STOKES EQUATIONS WITH VANISHING HORIZONTAL VISCOSITY
Langue
en
Article de revue
Ce document a été publié dans
Differential Integral Equations 31 (2018), no. 5-6, 329–352. 2018, vol. 31, n° 5-6, p. 329-352
Résumé en anglais
We study in this paper the axisymmetric 3-D Navier-Stokes system where the horizontal viscosity is zero. We prove the existence of a unique global solution to the system with initial data in Lebesgue spaces.