標題: Antithesis of the Stokes Paradox on the Hyperbolic Plane
作者: Chan, Chi Hin
Czubak, Magdalena
應用數學系
Department of Applied Mathematics
關鍵字: Navier-Stokes;Stokes paradox;Exterior domain;Obstacle;Hyperbolic plane
公開日期: 1-一月-1970
摘要: We show there exists a nontrivial H-0(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. In fact, the solution we construct satisfies both the no-slip boundary condition and vanishing at infinity. This means that the solution is in some sense actually a paradoxical solution since the fluid is moving without having any physical cause to move. 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.
URI: http://dx.doi.org/10.1007/s12220-020-00466-3
http://hdl.handle.net/11536/154891
ISSN: 1050-6926
DOI: 10.1007/s12220-020-00466-3
期刊: JOURNAL OF GEOMETRIC ANALYSIS
起始頁: 0
結束頁: 0
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