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Browsing by Author "Chen, Che-Kai"

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    Asymptotic behavior of the steady Navier-Stokes equation on the hyperbolic plane
    (2017-01-01)
    Chan, Chi Hin
    ;
    Chen, Che-Kai
    ;
    Czubak, Magdalena
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    應用數學系
    ;
    Department of Applied Mathematics
    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.