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ON THE STATIONARY NAVIER-STOKES FLOW WITH ISOTROPIC STREAMLINES IN ALL LATITUDES ON A SPHERE OR A 2D HYPERBOLIC SPACE

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Please use this identifier to cite or link to this item:http://doi.org/10.14943/84174

Title: ON THE STATIONARY NAVIER-STOKES FLOW WITH ISOTROPIC STREAMLINES IN ALL LATITUDES ON A SPHERE OR A 2D HYPERBOLIC SPACE
Authors: Chan,Chi Hin Browse this author
Yoneda, Tsuyoshi Browse this author
Keywords: Navier-Stokes equation
Riemannian manifold
streamlines
Issue Date: 28-Feb-2013
Journal Title: Hokkaido University Preprint Series in Mathematics
Volume: 1030
Start Page: 1
End Page: 43
Abstract: In this paper, we show the existence of real-analytic stationary NavierStokesflows with isotropic streamlines in all latitudes in some simply-connected flow regionon a rotating round sphere. We also exclude the possibility of having a Poiseuille’sflow profile to be one of these stationary Navier-Stokes flows with isotropic streamlines.When the sphere is replaced by a 2-dimensional hyperbolic space, we also givethe analog existence result for stationary parallel laminar Navier-Stokes flows along acircular-arc boundary portion of some compact obstacle in the 2-D hyperbolic space.The existence of stationary parallel laminar Navier-Stokes flows along a straight boundaryof some obstacle in the 2-D hyperbolic space is also studied. In any one of thesecases, we show that a parallel laminar flow with a Poiseuille’s flow profile ceases to bea stationary Navier-Stokes flow, due to the curvature of the background manifold.
Type: bulletin (article)
URI: http://hdl.handle.net/2115/69833
Appears in Collections:理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics

Submitter: 数学紀要登録作業用

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