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

The aim of the study is to select an effective method of system recovery of the organism for space pre-flight…

The Sonocard experiment purpose was a noninvasive physiological signal recording from sleeping humans. In 2007-2012 the experiment was made by…

Deciding to discuss the above topic is determined due to a number of reasons. Firstly, the currently used ablation techniques…

A cardiac muscle performance assessment in terms of acid-alkaline balance has never been carried out before. The studies show it…

Original research

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

Sergey G. Chefranov1Artem S. Chefranov1

1 A.M.Obukhov Institute of Atmospheric Physics Russian Academy of Sciences
Russia, 119017, Moscow, Pyzhevsky lane 3

* Corresponding author:
  This email address is being protected from spambots. You need JavaScript enabled to view it., This email address is being protected from spambots. You need JavaScript enabled to view it.

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

Keywords

Our book in WoS™ Core Collection

We are glad to inform you that the book "Theoretical principles of heart cycle phase analysis" written by researchers from Russian New University has been accepted and indexed in The Book Citation Index in Web of Science™ Core Collection

VIDEO ABOUT CARDIOMETRY

OUR PARTNERS

Russian New University


Your online partner for English language editing, proofreading, medical writing, formatting, design & development and publication support services