Mathematical verification for a novel Navier-Stokes representation

该提议者最近发表了一种新颖而令人兴奋的表示流体运动方式的新方法。这是由一组叫做Navier-Stokes方程的方程决定的，而Navier-Stokes方程的解很难得到，被列为千年问题之一，这是我们这个时代的数学挑战。这种新的表达方式提出了一种直接解决Navier-Stokes方程的方法，在发表的论文中，Blasius问题是用这种技术解决的，它描述了与边界相邻的一层中的流动。这个解是Blasius首先给出的一个简单的经典问题，所以这里提出的研究是为新方法提供一个具有挑战性的基准，这将是数学上验证新方法的试金石。建议的基准是均匀流动通过有限的平板它的结构比Blasius问题复杂得多，因此是一个更具有挑战性的问题。

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.