Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere
Softcover reprint of the original 1st ed. 2017
Book Details
Format
Paperback / Softback
ISBN-10
3319880225
ISBN-13
9783319880228
Edition
Softcover reprint of the original 1st ed. 2017
Publisher
Springer International Publishing AG
Imprint
Springer International Publishing AG
Country of Manufacture
GB
Country of Publication
GB
Publication Date
May 18th, 2018
Print length
239 Pages
Product Classification:
Applied mathematicsFluid mechanicsPhysics: Fluid mechanicsMeteorology & climatologyMeteorology and climatologyEnvironmental managementEngineering: Mechanics of fluidsMechanics of fluidsEnvironmental science, engineering & technologyEnvironmental science, engineering and technology
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This 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 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 basic concepts and concrete outcomes by pursuing a rich combination of theoretical, analytical and numerical approaches, and is recommended for specialists 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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