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

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...

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Main Author: Skiba, Yuri N. (Author, http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2017.
Edition:1st ed. 2017.
Subjects:
Mathematical physics.
Environmental sciences.
Atmospheric sciences.
Fluids.
Mathematical Applications in the Physical Sciences.
Math. Appl. in Environmental Science.
Atmospheric Sciences.
Fluid- and Aerodynamics.
Online Access:https://doi.org/10.1007/978-3-319-65412-6
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.

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