Bounds on the phase velocity in the linear instability of viscous shear flow problem in the $β$-plane

Details Bounds on the phase velocity in the linear instability of viscous shear flow problem in the $β$-plane Bounds on the phase velocity in the linear instability of viscous shear flow problem in the $β$-plane

2006-07-26

arxiv.org/abs/math-ph/0607059v1

Physics

Mathematical Physics

6 pages

Scientific paper

Results obtained by Joseph ({\it J. Fluid Mech.} {\bf 33} (1968) 617) for the
viscous parallel shear flow problem are extended to the problem of viscous
parallel, shear flow problem in the beta plane and a sufficient condition for
stability has also been derived.

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