Navier -Stokes第二精确变换

A. Kozachok
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引用次数: 1

摘要

在这篇文章中,第二个Navier - Stokes (NSE)精确变换到更简单的方程。这个变换是用经典的数学分析方法来完成的。结果表明,三维涡量输运方程可以转化为二维涡量输运方程的传统矢量形式。第二个结果和第一个结果一样,对于克莱数学研究所提出的七个千禧年奖问题之一的Navier-Stokes存在性和平滑性的解决非常重要。这类方程解的存在性证明比传统的NSE更简单。新方程将简化工程、航空等应用数学中许多其他问题的解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Navier –Stokes Second Exact Transformation
In this article second Navier - Stokes (NSE) exact transformation to the simpler equations is covered. This transformation is executed by classical methods of Mathematical Analysis. It is shown that 3-D NSE can be conversed to a traditional vector form which looks like 2-D Vorticity Transport Equations. Second result, as well as first one, is very important for the solution of Navier-Stokes existence and smoothness one of seven Millennium Prize Problems that were stated by the Clay Mathematics Institute. The proof of solution' existence of such equations is simpler than traditional NSE. New equations will simplify the solutions of many other problems of Applied Mathematics in engineering, aeronautics, etc.
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