Yuri N. Skiba

Mathematical Problems of the Dynamics of Incompressible Fluid on a Rotating Sphere (eBook, PDF)

• Format: PDF

Produktbeschreibung

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

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Produktdetails

• Verlag: Springer Nature Switzerland
• Seitenzahl: 239
• Erscheinungstermin: 21. September 2017
• Englisch
• ISBN-13: 9783319654126
• Artikelnr.: 53057857

Autorenporträt

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.

Inhaltsangabe

Chapter 01- Introduction.- Chapter 02- Spaces of Functions on a Sphere.- Chapter 03- Solvability of Vorticity Equation on a Sphere.- Chapter 04- Dynamics of Ideal Fluid on a Sphere.- Chapter 05- Stability of Rossby-Haurwitz (RH) Waves.- Chapter 06- Stability of Modons and Wu-Verkley waves.- Chapter 07- Linear and Nonlinear Stability of Flows.- Chapter 08- Numerical Study of Linear Stability.- References.

Rezensionen

"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)