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

Chi-Hin Chan, Che Kai Chen, Magdalena Czubak

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)239-270
Number of pages32
JournalDynamics of Partial Differential Equations
Volume14
Issue number3
DOIs
StatePublished - 1 Jan 2017

Keywords

  • Asymptotics
  • Exterior domain
  • Hyperbolic plane
  • Stationary navier-stokes

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