Liouville theorems for the stationary Navier–Stokes equation on a hyperbolic space

Chi-Hin Chan; Magdalena Czubak

doi:10.1016/j.jmaa.2017.11.037

Liouville theorems for the stationary Navier–Stokes equation on a hyperbolic space

Chi-Hin Chan, Magdalena Czubak^*

^*Corresponding author for this work

Department of Applied Mathematics

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

The problem for the stationary Navier–Stokes equation in 3D under finite Dirichlet norm is open. In this paper we answer the analogous question on the 3D hyperbolic space. We also address other dimensions and more general manifolds.

Original language	American English
Pages (from-to)	216-231
Number of pages	16
Journal	Journal of Mathematical Analysis and Applications
Volume	460
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2017.11.037
State	Published - 1 Apr 2018

Keywords

Hyperbolic space
Liouville theorems
Stationary Navier–Stokes
Steady state

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10.1016/j.jmaa.2017.11.037

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title = "Liouville theorems for the stationary Navier–Stokes equation on a hyperbolic space",

abstract = "The problem for the stationary Navier–Stokes equation in 3D under finite Dirichlet norm is open. In this paper we answer the analogous question on the 3D hyperbolic space. We also address other dimensions and more general manifolds.",

keywords = "Hyperbolic space, Liouville theorems, Stationary Navier–Stokes, Steady state",

author = "Chi-Hin Chan and Magdalena Czubak",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

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AU - Czubak, Magdalena

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AB - The problem for the stationary Navier–Stokes equation in 3D under finite Dirichlet norm is open. In this paper we answer the analogous question on the 3D hyperbolic space. We also address other dimensions and more general manifolds.

KW - Hyperbolic space

KW - Liouville theorems

KW - Stationary Navier–Stokes

KW - Steady state

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DO - 10.1016/j.jmaa.2017.11.037

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EP - 231

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Liouville theorems for the stationary Navier–Stokes equation on a hyperbolic space

Abstract

Keywords

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