Quantities which define conically self-similar free-vortex solutions to the Navier-Stokes equations uniquely (Q2743724)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Quantities which define conically self-similar free-vortex solutions to the Navier-Stokes equations uniquely |
scientific article; zbMATH DE number 1652534
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantities which define conically self-similar free-vortex solutions to the Navier-Stokes equations uniquely |
scientific article; zbMATH DE number 1652534 |
Statements
27 September 2001
0 references
Navier-Stokes equations
0 references
uniqueness
0 references
conical streamsurface
0 references
radial velocity
0 references
radial tangential stress
0 references
conically self-similar free vortex solution
0 references
conical domain
0 references
non-uniqueness
0 references
Quantities which define conically self-similar free-vortex solutions to the Navier-Stokes equations uniquely (English)
0 references
The author has proved an important theorem that if, in addition to the opening angle of the bounding conical streamsurface and the circulation thereon, one of the radial velocity, the radial tangential stress or the pressure on the bounding streamsurface is given, then a conically self-similar free vortex solution is uniquely determined in the entire conical domain. It has also been shown that for flows inside a cone the same conclusion holds for the \textit{C.-S. Yih} et. al. [Phys. Fluids 25, 2147-2158 (1982; Zbl 0513.76024)] parameter \({\mathcal T}\), but for exterior flows it has been shown numerically that non-uniqueness may occur.
0 references
