## Differential and Integral Equations

### On the global well-posedness of 3-d Navier-Stokes equations with vanishing horizontal viscosity

#### 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.

#### Article information

Source
Differential Integral Equations Volume 31, Number 5/6 (2018), 329-352.

Dates
First available in Project Euclid: 23 January 2018