Asymptotic behavior of the steady Navier-Stokes equation on the hyperbolic plane

Chi-Hin Chan; Che Kai Chen; Magdalena Czubak

doi:10.4310/DPDE.2017.v14.n3.a2

Asymptotic behavior of the steady Navier-Stokes equation on the hyperbolic plane

Chi-Hin Chan, Che Kai Chen, Magdalena Czubak

Department of Applied Mathematics

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

1 Scopus citations

Abstract

We develop the asymptotic behavior for the solutions to the stationary Navier-Stokes equation in the exterior domain of the 2D hyperbolic space. More precisely, given the finite Dirichlet norm of the velocity, we show the velocity decays to 0 at infinity. We also address the decay rate for the vorticity and the behavior of the pressure.

Original language	English
Pages (from-to)	239-270
Number of pages	32
Journal	Dynamics of Partial Differential Equations
Volume	14
Issue number	3
DOIs	https://doi.org/10.4310/DPDE.2017.v14.n3.a2
State	Published - 2017

Keywords

Asymptotics
Exterior domain
Hyperbolic plane
Stationary navier-stokes

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10.4310/DPDE.2017.v14.n3.a2

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title = "Asymptotic behavior of the steady Navier-Stokes equation on the hyperbolic plane",

abstract = "We develop the asymptotic behavior for the solutions to the stationary Navier-Stokes equation in the exterior domain of the 2D hyperbolic space. More precisely, given the finite Dirichlet norm of the velocity, we show the velocity decays to 0 at infinity. We also address the decay rate for the vorticity and the behavior of the pressure.",

keywords = "Asymptotics, Exterior domain, Hyperbolic plane, Stationary navier-stokes",

author = "Chi-Hin Chan and Chen, {Che Kai} and Magdalena Czubak",

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AB - We develop the asymptotic behavior for the solutions to the stationary Navier-Stokes equation in the exterior domain of the 2D hyperbolic space. More precisely, given the finite Dirichlet norm of the velocity, we show the velocity decays to 0 at infinity. We also address the decay rate for the vorticity and the behavior of the pressure.

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KW - Hyperbolic plane

KW - Stationary navier-stokes

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JO - Dynamics of Partial Differential Equations

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Asymptotic behavior of the steady Navier-Stokes equation on the hyperbolic plane

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Keywords

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