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

• Main Author: Skiba, Yuri N. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
• Subjects: Mathematics.; Atmospheric sciences.; Mathematical physics.; Fluids.; Environmental sciences.; Mathematical Applications in the Physical Sciences.; Math. Appl. in Environmental Science.; Atmospheric Sciences.; Fluid- and Aerodynamics.

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 equatio...

Table of Contents:

• 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.