Dynamics of Partial Differential Equations
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.
Chan, Chi Hin; Chen, Che-Kai; and Czubak, Magdalena, "Asymptotic behavior of the steady Navier–Stokes equation on the hyperbolic plane" (2017). Mathematics Faculty Contributions. 3.