如何理解「数学中可行的在物理学中并不一定可行，反之亦然」？ 第1页

千禧年七大数学问题之一——Navier-Stokes方程解的存在性和光滑性的证明。

维基百科里关于Navier-Stokes方程的介绍：

The Navier–Stokes equations are also of great interest in a purely mathematical sense. Despite their wide range of practical uses it has not yet been proven that in three dimensions solutions always exist, or that if they do exist, then they are smooth, i.e. they do not contain any mathematical singularity. These are called the Navier–Stokes existence and smoothness problems. The Clay Mathematics Institute has called this one of the seven most important open problems in mathematics and has offered a US$1,000,000 prize for a solution or a counterexample.

纳威-斯托克斯方程在三维情况下解的存在性和光滑性迄今为止尚未得到证明。很奇怪吧？虽然这个方程是流体力学中的基本方程，我们却连它的解是否一定存在都不知道。

https:// en.wikipedia.org/wiki/N avier%E2%80%93Stokes_equations