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Navier-Stokes equations paradox
- 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.
- Subjects :
- Physics::Fluid Dynamics
Physics::Popular Physics
Millennium Prize Problems
Mathematics::General Mathematics
Mathematical analysis
Mathematics::Analysis of PDEs
Zero (complex analysis)
Motion (geometry)
Statistical and Nonlinear Physics
Viscous incompressible fluid
Navier–Stokes equations
Mathematical Physics
Mathematics
Subjects
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