Weak solutions of Navier-Stokes equations constructed by artificial compressibility method are suitable
Analysis of PDEs
2010-01-26 v1 Mathematical Physics
math.MP
Abstract
In this paper we prove that weak solution constructed by artificial compressibility method are suitable in the sense of Scheffer. Using Hilbertian setting and Fourier transform with respect to the time we obtain nontrivial estimates of the pressure and the time derivate which allow us to pass into the limit.
Keywords
Cite
@article{arxiv.1001.4484,
title = {Weak solutions of Navier-Stokes equations constructed by artificial compressibility method are suitable},
author = {D. Donatelli and S. Spirito},
journal= {arXiv preprint arXiv:1001.4484},
year = {2010}
}