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Titlebook: Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere; Yuri N. Skiba Book 2017 Springer International Publish

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Introduction,y-Haurwitz waves, modons, and Wu-Verkley waves..In 1950, the BVE was chosen as the first approximate model of the atmosphere in the general plan of attacking the problem of numerical weather prediction. Also, in the case of an ideal fluid, the conservation laws for a BVE solution allowed studying th
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Stability of Rossby-Haurwitz (RH) Waves,ry BVE solutions as the Legendre polynomial (LP) flow, RH wave, WV wave, and modons..This chapter is devoted to the stability of the Rossby-Haurwitz waves and LP flows. In Sect. ., we derive a conservation law for arbitrary perturbations of LP flow and RH wave. Invariant sets (..., ., ......, and .,
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Linear and Nonlinear Stability of Flows, and Haynes set limits on the growth rate of unstable modes and provide information on the time–space structure of unstable disturbances. Nevertheless, the effectiveness of the necessary conditions for instability can be quite scanty. For example, any sufficiently strong LP flow of degree . ≥ 3 sati
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Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere
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