Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere
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Beschreibung
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.
Presents a selection of problems on the dynamics of two-dimensional viscous and ideal incompressible fluid on a rotating sphere, combining theoretical, analytical and numerical approaches
Employs an analysis of vortex dynamics on a sphere, which offers a more natural approach for meteorological applications.
Focuses on methods that can be applied to problems in physics, hydrodynamics, meteorology and geophysics
Presents a selection of problems on the dynamics of two-dimensional viscous and ideal incompressible fluid on a rotating sphere, combining theoretical, analytical and numerical approaches Employs an analysis of vortex dynamics on a sphere, which offers a more natural approach for meteorological applications. Focuses on methods that can be applied to problems in physics, hydrodynamics, meteorology and geophysics Includes supplementary material: sn.pub/extras
Autor*in
Yuri N. Skiba
Themen in »Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere«
Barotropic vorticity equation Incompressible fluid Fluid dynamics Flow stability Rossby-Haurwitz waves Wu-Verkley waves Linear stability M13120 U24005 P19013 P21026 fluid- and aerodynamics
Stimmen zu »Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere«
“The book contains a deep analysis of mathematical problems of two-dimensional dynamics of an ideal liquid on a rotating sphere and some numerical calculations of the related problems. … This book may be useful for scientists, graduate students, and for all interested in the numerical calculations of dynamics of a liquid on a rotating sphere.” (Oleg A. Sinkevich, zbMATH 1391.76003, 2018)
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