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

Abstract

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.

Imprint

Sergey G. Chefranov, Artem S. Chefranov. The new analytical solution of the 3D Navier-Stokes equation for compressible medium clarifies the sixth Millennium Prize problem; Cardiometry; No.10 May 2017; p.18-33; DOI:10.12710/cardiometry.2017.10.1833; Available online: www.cardiometry.net/issues/no10-may-2017/analytical-solution-of-the-navier-stokes-equation