Mathematical verification for a novel Navier-Stokes representation

一个新颖的和令人兴奋的新的方式来表示流体的运动方式最近已经出版的提议者。这是由一组称为Navier-Stokes方程的方程控制的，Navier-Stokes方程的解非常难以获得，并被列为千年难题之一，这是我们这个时代的数学挑战。这种新的表示法提出了一种直接求解Navier-Stokes方程的方法，在已发表的论文中，Blasius问题是使用这种技术解决的，它描述了边界附近层中的流动。这个解决方案是Blasius首先给出的一个简单的经典问题，因此这里提出的研究是为新方法提供一个具有挑战性的基准，这将是在数学上验证新方法的试金石。所提出的基准是均匀流通过有限平板，这是一个更复杂的结构的Blasius问题，所以是一个更具挑战性的问题来解决。

A novel and exciting new way of representing the way a fluid moves has recently been published by the proposer. This is governed by a set of equations called the Navier-Stokes equations, and the solution to the Navier-Stokes equations is very difficult to obtain and listed as one of the millennium problems, which are the mathematical challenges of our time. This new representation suggests a straightforward way to solve the Navier-Stokes equations, and in the published paper the Blasius problem was solved using this technique, which describes the flow in a layer adjacent to the boundary. This solution is a simple classical problem given first by Blasius, so the proposed research here is to provide a challenging benchmark for the new method which will be a litmus test for verifying mathematically the novel approach. The proposed benchmark is uniform flow past a finite flat plate which is has a much more complex structure that the Blasius problem, and so is a much more challenging problem to solve.