Navier-Stokes equations paradox. Issue 1 (August 2021)

• Record Type: Journal Article
• Authors: Ramm, Alexander G.
• Is Part Of: Reports on mathematical physics. Volume 88:Issue 1(2021)
• Page Start: 41
• Page End: 45
• Publication Date: 2021-08
• Subjects: 76D05; Navier-Stokes problem -- Navier-Stokes paradox.; Mathematical physics -- Periodicals; Physique mathématique -- Périodiques; 530.15
• DOI: 10.1016/S0034-4877(21)00054-9
• Languages: English
• ISSNs: 0034-4877

Abstract

Abstract : It is proved that if the Navier-Stokes problem is considered in ℝ 3, 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.