Abstract
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.
Citation
Hammadi Abidi. Marius Paicu. "On the global well-posedness of 3-d Navier-Stokes equations with vanishing horizontal viscosity." Differential Integral Equations 31 (5/6) 329 - 352, May/June 2018. https://doi.org/10.57262/die/1516676426
