The Maximum Principle of the Navier-Stokes Equation
Mathematical Physics
2012-04-13 v1 math.MP
Abstract
In the work of Navier-Stokes (NSE) equation, derived a nonlinear parabolic equation for kinetic energy density, and identified an important property of this equation - the maximum principle. The latter shows the validity of the maximum principle and the NSE. On the basis of what, the unique solvability of the weak and the existence of strong solutions for NSE was proved wholly in time t \in [0, T], \forall T < \infty.
Keywords
Cite
@article{arxiv.1204.2668,
title = {The Maximum Principle of the Navier-Stokes Equation},
author = {Abdigali Shoiynbaiuly Akysh},
journal= {arXiv preprint arXiv:1204.2668},
year = {2012}
}
Comments
17 pages, 24 references. The work of the Committee on Intellectual Property Rights, Ministry of Justice of the Republic of Kazakhstan registered. Certificate No.039, 12.01.2011\Gamma. and C 0006098