Asymptotic behavior of the steady Navier-Stokes equation on the hyperbolic plane
Analysis of PDEs
2017-05-25 v1
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 at infinity. We also address the decay rate for the vorticity and the behavior of the pressure.
Keywords
Cite
@article{arxiv.1705.08880,
title = {Asymptotic behavior of the steady Navier-Stokes equation on the hyperbolic plane},
author = {Chi Hin Chan and Che-Kai Chen and Magdalena Czubak},
journal= {arXiv preprint arXiv:1705.08880},
year = {2017}
}
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29 pages