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Navier-Stokes equations paradox

Authors :
Alexander G. Ramm
Source :
Reports on Mathematical Physics. 88:41-45
Publication Year :
2021
Publisher :
Elsevier BV, 2021.

Abstract

It is proved that if the Navier-Stokes problem is considered in ℝ3 , then the initial velocity has to be zero. This is the paradox. The consequences of this paradox are: a) The NSP is contradictory physically and mathematically; it is not a correct formulation of the problem of motion of the incompressible viscous fluid . b) The solution to the NSP does not exist on [0, ∞). This solves one of the millennium problems.

Details

ISSN :
00344877
Volume :
88
Database :
OpenAIRE
Journal :
Reports on Mathematical Physics
Accession number :
edsair.doi...........35f09642c6b50f918a5cb3a83b2a5c10
Full Text :
https://doi.org/10.1016/s0034-4877(21)00054-9