The new analytical solution of the 3D Navier-Stokes equation for compressible medium clarifies the sixth Millennium Prize problem

Cardiometry

article

Sergey G. Chefranov¹  Artem S. Chefranov¹ 

[1] A.M.Obukhov Institute of Atmospheric Physics Russian Academy of Sciences

关键词: Hydrodynamics;    Compressibility;    Viscosity;    Turbulence;    Vortex waves;   

DOI  :  10.12710/cardiometry.2017.1833

学科分类：环境科学（综合）

来源: Russian New University

【 摘 要 】

The limitations of capabilities of the existing mathematical weather prediction (including forecasting for weather-sensitive individuals) cannot be duly realized nowadays due to the fact that till now there is no proof of the existence and uniqueness of smooth solutions of the three-dimensional (3D) Navier-Stokes equation (in any finite period of time). We have obtained a new analytical solution of the Cauchy problem of this equation in an unbounded space, which has finite energy for any values of time.

【 授权许可】

CC BY