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

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

Download 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

Information

Published: May/June 2018
First available in Project Euclid: 23 January 2018

zbMATH: 06861582
MathSciNet: MR3749212
Digital Object Identifier: 10.57262/die/1516676426

Subjects:
Primary: 35Q35 , 76D03 , 76D05 , 76D09

Rights: Copyright © 2018 Khayyam Publishing, Inc.

Vol.31 • No. 5/6 • May/June 2018
Back to Top