English

A new proof to the energy conservation for the Navier-Stokes equations

Analysis of PDEs 2016-04-20 v1

Abstract

In this paper we give a new proof to the energy conservation for the weak solutions of the incompressible Navier-Stokes equations. This result was first proved by Shinbrot. The new proof relies on a lemma introduced by Lions.

Keywords

Cite

@article{arxiv.1604.05697,
  title  = {A new proof to the energy conservation for the Navier-Stokes equations},
  author = {Cheng Yu},
  journal= {arXiv preprint arXiv:1604.05697},
  year   = {2016}
}