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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Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere978-3-319-65412-6

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Book 2017ere. In this case, the fluid motion is completely governed by the barotropic vorticity equation (BVE), and the viscosity term in the vorticity equation is taken in its general form, which contains the derivative of real degree of the spherical Laplace operator..This work builds a bridge between basi

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heoretical, analytical and numerical approaches.Employs an aThis book presents selected mathematical problems involving the dynamics of a two-dimensional viscous and ideal incompressible fluid on a rotating sphere. In this case, the fluid motion is completely governed by the barotropic vorticity equ

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Book 2017s developing mathematical methods for application to problems in physics, hydrodynamics, meteorology and geophysics, as well for upper undergraduate or graduate students in the areas of dynamics of incompressible fluid on a rotating sphere, theory of functions on a sphere, and flow stability..

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Spaces of Functions on a Sphere,eorems on the existence and uniqueness of the BVE solution, for analyzing the asymptotic behavior of solutions, for deriving estimates in the norms of different functional spaces, for approximating the functions on the sphere by spherical polynomials (spectral method), for evaluating the rate of con

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Stability of Rossby-Haurwitz (RH) Waves,, represent one of the main features of the meteorological fields. Therefore, the stability properties of the RH wave are also of considerable interest for a better understanding of the nature of low-frequency variability of large-scale atmospheric processes, as well as for developing data assimilat

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