Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere

Nonfiction, Science & Nature, Mathematics, Applied, Science, Biological Sciences, Environmental Science
Cover of the book Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere by Yuri N. Skiba, Springer International Publishing
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Author: Yuri N. Skiba ISBN: 9783319654126
Publisher: Springer International Publishing Publication: September 21, 2017
Imprint: Springer Language: English
Author: Yuri N. Skiba
ISBN: 9783319654126
Publisher: Springer International Publishing
Publication: September 21, 2017
Imprint: Springer
Language: English

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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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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