| Abstract: |
| Abstract. We show there exists a nontrivial H 1 solution to the steady Stokes
equation on the 2D exterior domain in the hyperbolic plane. Hence we show there is no Stokes
paradox in the hyperbolic setting. We also show the existence of a nontrivial solution to the
steady Navier-Stokes equation in the same setting, whereas
the analogous problem is open in the Euclidean case. |
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