Mathematical Physics

    

Navier-Stokes Equation: Existence and Smoothness

Authors: Wan-Chung Hu

Navier-Stokes equation existence and smoothness are important unsolved problems in mathematic physics. Here, I use vector calculus and gravity-spinity related Maxwell-like equations (gravitoelectromagnetism) to reduce Navier-Stokes into Laplace equations including conditions such as rotational, irrotational, compressible, or incompressible. Because the solutions of Laplace equations are harmonic functions, the solutions of Navierr-Stoke equations are smooth. In addition, I did curl differentiate the Navier-Stokes-Euler equation to get vortex functions. This can help to explain the mechanism of induction of turbulence.

Comments: 9 Pages.

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Submission history

[v1] 2022-09-27 01:43:26

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