Topological Properties of Strong Solutions for the 3D Navier-Stokes Equations

Pavlo O. Kasyanov; Luisa Toscano; Nina V. Zadoianchuk

Topological Properties of Strong Solutions for the 3D Navier-Stokes Equations

Analysis of PDEs 2012-07-19 v2

Authors: Pavlo O. Kasyanov , Luisa Toscano , Nina V. Zadoianchuk

Abstract

In this note we give a criterion for the existence of global strong solutions for the 3D Navier-Stokes system for any regular initial data.

Keywords

Navier-Stokes equations strong solutions global existence regular initial data topological properties 3D fluid dynamics

Cite

@article{arxiv.1207.3009,
  title  = {Topological Properties of Strong Solutions for the 3D Navier-Stokes Equations},
  author = {Pavlo O. Kasyanov and Luisa Toscano and Nina V. Zadoianchuk},
  journal= {arXiv preprint arXiv:1207.3009},
  year   = {2012}
}