Dynamics of Partial Differential Equations
Volume 14 (2017)
Asymptotic behavior of the steady Navier–Stokes equation on the hyperbolic plane
Pages: 239 – 270
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.
exterior domain, Stationary Navier–Stokes, asymptotics, hyperbolic plane
2010 Mathematics Subject Classification
58J05, 76D03, 76D05
Paper received on 3 May 2017.