The solution of the 4 th Clay millennium problem.

Η λύση του 4ου προβλήματος χιλιετίας του Clay

Main Author: Kyritsis, Konstantinos
Format: Article
Language: English
Published: Ο συγγραφέας 2017
Subjects:
Online Access: http://cris.teiep.gr/jspui/handle/123456789/1415
id cris-123456789-1415
recordtype dspacecris
spelling cris-123456789-14152017-03-11T01:00:22Z The solution of the 4 th Clay millennium problem. Η λύση του 4ου προβλήματος χιλιετίας του Clay Kyritsis, Konstantinos Μαθηματική φυσική Mathematical Physics Incompressible flows Navier-Stokes equations 4th Clay millennium problem In this paper I prove that any flow-solution of the Navier-Stokes equations , under standard assumption of the official formulation of the 4th Clay millennium problem, has a secondary potential flow , with different velocities and pressures but identical space-time evolution of the matrix of deformations. In this way we can reduce the global in time behaviour of the original flow-solution to the one of the potential flow and solve the 4th Clay millennium problem. But I solve also a by far more difficult problem as I prove the same thing for the inviscid flows of the Euler equations. 2017-03-07 Άρθρο http://cris.teiep.gr/jspui/handle/123456789/1415 en pp.28 Ο συγγραφέας Αθήνα
institution T.E.I. of Epirus
collection DSpace CRIS
language English
topic Μαθηματική φυσική
Mathematical Physics
Incompressible flows
Navier-Stokes equations
4th Clay millennium problem
spellingShingle Μαθηματική φυσική
Mathematical Physics
Incompressible flows
Navier-Stokes equations
4th Clay millennium problem
Kyritsis, Konstantinos
The solution of the 4 th Clay millennium problem.
abstract In this paper I prove that any flow-solution of the Navier-Stokes equations , under standard assumption of the official formulation of the 4th Clay millennium problem, has a secondary potential flow , with different velocities and pressures but identical space-time evolution of the matrix of deformations. In this way we can reduce the global in time behaviour of the original flow-solution to the one of the potential flow and solve the 4th Clay millennium problem. But I solve also a by far more difficult problem as I prove the same thing for the inviscid flows of the Euler equations.
format Άρθρο
author Kyritsis, Konstantinos
author-letter Kyritsis, Konstantinos
title The solution of the 4 th Clay millennium problem.
title_short The solution of the 4 th Clay millennium problem.
title_full The solution of the 4 th Clay millennium problem.
title_fullStr The solution of the 4 th Clay millennium problem.
title_full_unstemmed The solution of the 4 th Clay millennium problem.
title_sort solution of the 4 th clay millennium problem.
titletranslated Η λύση του 4ου προβλήματος χιλιετίας του Clay
publisher Ο συγγραφέας
publisherplace Αθήνα
publishDate 2017
url http://cris.teiep.gr/jspui/handle/123456789/1415
physical pp.28
_version_ 1577345432961417216
score 11.370737