Stochastic Navier-Stokes Equations on Spheres and Spherical Shells
Series: Chapman & Hall/CRC Numerical Analysis and Scientific Computing Series;
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Product details:
- Edition number 1
- Publisher Chapman and Hall
- Date of Publication 22 July 2026
- ISBN 9781032007052
- Binding Hardback
- No. of pages320 pages
- Size 254x178 mm
- Weight 453 g
- Language English
- Illustrations 3 Illustrations, black & white; 3 Line drawings, black & white; 1 Tables, black & white 700
Categories
Short description:
This book provides a systematic and self-contained introduction to both deterministic and stochastic Navier–Stokes equations on the unit sphere and spherical shells. For graduate students as well as researchers and scientists interested in the Navier–Stokes equations and their applications to atmospheric science and global climate models.
MoreLong description:
Stochastic Navier-Stokes Equations on Spheres and Spherical Shells provides a systematic and self-contained introduction to both deterministic and stochastic Navier–Stokes equations on the unit sphere and spherical shells. It is intended for graduate students at the M.S. and Ph.D. levels, as well as researchers and scientists from any academic field interested in the Navier–Stokes equations and their applications to atmospheric science and global climate models.
Features
- Includes established material alongside cutting-edge, never-before published results
- Replete with exercises and solutions, provided in-text
- Can be used as a textbook for MS and PhD students studying Navier-Stokes equations, while also serving as a valuable reference for professional researchers.
Table of Contents:
1. Introduction 2. Preliminaries on probability and stochastic processes 3. Calculus in spherical coordinates 4. Navier-Stokes equations on the unit sphere 5. Stochastic Navier-Stokes equations on spheres 6. Navier-Stokes equations on thin shells 7. Stochastic Navier-Stokes equations on thin shells 8. Existence of martingale solutions to stochastic NSEs in bounded domains
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