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Introduction to PDEs and Waves for the Atmosphere and Ocean
About this Title
Andrew Majda, New York University-Courant Institute of Mathematical Sciences, New York, New York
Publication: Courant Lecture Notes
Publication Year:
2003; Volume 9
ISBNs: 978-0-8218-2954-7 (print); 978-1-4704-3110-5 (online)
DOI: https://doi.org/10.1090/cln/009
MathSciNet review: MR1965452
MSC: Primary 76U05; Secondary 35Q35, 76B03, 76B15, 76D33, 86A05, 86A10
Table of Contents
Front/Back Matter
Chapters
- Chapter 1. Introduction
- Chapter 2. Some remarkable features of stratified flow
- Chapter 3. Linear and nonlinear instability of stratified flows with strong stratification
- Chapter 4. Rotating shallow water theory
- Chapter 5. Linear and weakly nonlinear theory of dispersive waves with geophysical examples
- Chapter 6. Simplified equations for the dynamics of strongly stratified flow
- Chapter 7. The stratified quasi-geostrophic equations as a singular limit of the rotating Boussinesq equations
- Chapter 8. Introduction to averaging over fast waves for geophysical flows
- Chapter 9. Waves and PDEs for the equatorial atmosphere and ocean