Nonuniqueness of solutions of the Navier-Stokes equations on Riemannian manifolds (Q728426)
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: Nonuniqueness of solutions of the Navier-Stokes equations on Riemannian manifolds |
scientific article; zbMATH DE number 6666224
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonuniqueness of solutions of the Navier-Stokes equations on Riemannian manifolds |
scientific article; zbMATH DE number 6666224 |
Statements
Nonuniqueness of solutions of the Navier-Stokes equations on Riemannian manifolds (English)
0 references
20 December 2016
0 references
This paper is related to the question of non-uniqueness for the Navier-Stokes equations on a non-flat Riemannian manifold. The approach introduced in [\textit{C. H. Chan} and \textit{M. Czubak}, Dyn. Partial Differ. Equ. 10, No. 1, 43--77 (2013; Zbl 1307.35189)] is implemented on a specific 3D manifold with non-constant negative curvature. Non-unique solutions for Navier-Stokes equations are obtained on a 3D manifold of this type.
0 references
Navier-Stokes equations
0 references
harmonic vector fields
0 references
Riemannian manifolds
0 references
non-uniqueness
0 references
0 references
0 references
0 references
