Global regularity criterion for the 3D Navier-Stokes equations with large data

Abdelhafid Younsi

Global regularity criterion for the 3D Navier-Stokes equations with large data

Analysis of PDEs 2015-09-29 v2

Authors: Abdelhafid Younsi

Abstract

In this paper, we study the global regularity of strong solution to the Cauchy problem of 3D incompressible Navier-Stokes equations with large data and non-zero force. We prove that the strong solution exists globally for $\nabla u\in L^{\alpha}\left( 0,T,L^{2}\left( \Omega\right) \right)$ with $2\leq\alpha\leq4$ .

Keywords

global existence compressible navier-stokes equations navier-stokes equations

Cite

@article{arxiv.1504.02918,
  title  = {Global regularity criterion for the 3D Navier-Stokes equations with large data},
  author = {Abdelhafid Younsi},
  journal= {arXiv preprint arXiv:1504.02918},
  year   = {2015}
}

Comments

04 pages

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