A Local Strong Solution of the Navier-Stokes Problem in $L_2(\Omega )$

Abstract

In this paper we prove that the Navier-Stokes initial value problem (1) has a unique smooth local strong solution and if the following condition are satisfied (1) and is Hölder continuous about on, (2) The initial value

15 pages,conferences 12. arXiv admin note: substantial text overlap with arXiv:2001.11699