English

The space $B^{-1}_{\infty, \infty}$, volumetric sparseness, and 3D NSE

Analysis of PDEs 2016-11-17 v5

Abstract

In the context of the LL^\infty-theory of the 3D NSE, it is shown that suitable smallness of a solution in Besov space B,1B^{-1}_{\infty, \infty} suffices to prevent a possible blow-up.

Keywords

Cite

@article{arxiv.1603.08763,
  title  = {The space $B^{-1}_{\infty, \infty}$, volumetric sparseness, and 3D NSE},
  author = {Aseel Farhat and Zoran Grujic and Keith Leitmeyer},
  journal= {arXiv preprint arXiv:1603.08763},
  year   = {2016}
}

Comments

Final version to appear in the Journal of Mathematical Fluid Mechanics (JMFM)