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

Skiba, Yuri N.

 
9783319880228: Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere
Softcover
ISBN 10: 3319880225 ISBN 13: 9783319880228
Publisher: Springer, 2018

Synopsis

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.

"synopsis" may belong to another edition of this title.

About the Author

Yuri N. Skiba is a senior researcher at the Center for Atmospheric Sciences, National Autonomous University of Mexico (UNAM), and head of the Mathematical Modeling of Atmospheric Processes group. He holds a PhD in Physics and Mathematics from the Academy of Sciences of the USSR (1979) and a Master in Theoretical Mechanics from the State University of Novosibirsk (1971). He serves as both associate editor and reviewer for several journals. His fields of interest include computational and mathematical modeling, thermodynamic and hydrodynamic modeling, nonlinear fluid dynamics, numerical analysis of PDEs, transport of pollutants, and optimal control of emission rates.

From the Back Cover

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.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
2018
Language
English
ISBN 10 
3319880225
ISBN 13 
9783319880228
Binding
Paperback
Number of pages
251