English

A note on the Prodi-Serrin conditions for the regularity of a weak solution to the Navier-Stokes equations

Analysis of PDEs 2017-08-02 v1

Abstract

The paper is concerned with the regularity of weak solutions to the Navier-Stokes equations. The aim is to investigate on a relaxed Prodi-Serrin condition in order to obtain regularity for t > 0. The most interesting aspect of the result is that no compatibility condition is required to the initial data v0J2(\OO)J2(Ω)v_0\in J^2(\OO) J2({\Omega}).

Keywords

Cite

@article{arxiv.1706.01377,
  title  = {A note on the Prodi-Serrin conditions for the regularity of a weak solution to the Navier-Stokes equations},
  author = {Paolo Maremonti},
  journal= {arXiv preprint arXiv:1706.01377},
  year   = {2017}
}