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Asymptotic behavior of the steady Navier–Stokes equation on the hyperbolic plane
Dynamics of Partial Differential Equations ( IF 1.3 ) Pub Date : 2017-01-01 , DOI: 10.4310/dpde.2017.v14.n3.a2
Chi Hin Chan, Che-Kai Chen, Magdalena Czubak

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.

中文翻译:

双曲平面上稳态 Navier-Stokes 方程的渐近行为

我们在二维双曲空间的外域中为平稳 Navier-Stokes 方程的解开发渐近行为。更准确地说,给定速度的有限狄利克雷范数,我们显示速度在无穷远处衰减到 $0$。我们还讨论了涡度的衰减率和压力的行为。
更新日期:2017-01-01
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