Location of Repository

Logarithmically improved blow-up criteria for the 3D nonhomogeneous incompressible Navier-Stokes equations with vacuum

By Qianqian Hou, Xiaojing Xu and Zhuan Ye

Abstract

This article is devoted to the study of the nonhomogeneous incompressible Navier-Stokes equations in space dimension three. By making use of the "weakly nonlinear" energy estimate approach introduced by Lei and Zhou in [16], we establish two logarithmically improved blow-up criteria of the strong or smooth solutions subject to vacuum for the 3D nonhomogeneous incompressible Navier-Stokes equations in the whole space R^3. This results extend recent regularity criterion obtained by Kim (2006) [13]

Topics: Nonhomogeneous Navier-Stokes equations, blow-up criterion, strong solution, vacuum, Mathematics, QA1-939
Publisher: Texas State University
Year: 2016
OAI identifier: oai:doaj.org/article:dab6e76f9d7a47089c0d9b5ea7f2d983
Journal:
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • https://doaj.org/toc/1072-6691 (external link)
  • http://ejde.math.txstate.edu/V... (external link)
  • https://doaj.org/article/dab6e... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.