Nonuniqueness of solutions of the Navier-Stokes equations on Riemannian manifolds
type: Item
instance of: scholarly article
title: Nonuniqueness of solutions of the Navier-Stokes equations on Riemannian manifolds
zbMATH Open document ID: 1358.35095
author: Leandro A. Lichtenfelz
published in: Annals of Global Analysis and Geometry
publication date: 2016-12-20T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 35Q30
Mathematics Subject Classification ID: 76D05
Mathematics Subject Classification ID: 32Q05
zbMATH DE Number: 6666224
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: harmonic vector fields
zbMATH Keywords: Riemannian manifolds
zbMATH Keywords: non-uniqueness
reviewed by: Gelu Paşa
MaRDI profile type: Publication
full work available at URL: s10455-016-9509-1
OpenAlex ID: W2336753394
Wikidata QID: Q115384572
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DOI: 10.1007/S10455-016-9509-1
description: scientific article; zbMATH DE number 6666224