Nonlinear Dynamics and Statistical Theories for Basic Geophysical Flows

Table of Contents

1. Barotropic geophysical flows and two-dimensional fluid flows: an elementary introduction
2. The Response to large scale forcing
3. The selective decay principle for basic geophysical flows
4. Nonlinear stability of steady geophysical flows
5. Topographic mean-flow interaction, nonlinear instability, and chaotic dynamics
6. Introduction to empirical statistical theory
7. Equilibrium statistical mechanics for systems of ordinary differential equations
8. Statistical mechanics for the truncated quasi-geostrophic equations
9. Empirical statistical theories for most probable states
10. Assessing the potential applicability of equilibrium statistical theories for geophysical flows: an overview
11. Predictions and comparison of equilibrium statistical theories
12. Equilibrium statistical theories and dynamical modeling of flows with forcing and dissipation
13. Predicting the jets and spots on Jupiter by equilibrium statistical mechanics
14. Statistically relevant and irrelevant conserved quantities for truncated quasi-geostrophic flow and the Burger–Hopf model
15. A mathematical framework for quantifying predictability utilizing relative entropy
16. Barotropic quasi-geostrophic equations on the sphere
Bibliography
Index.

Look Inside

• Front Matter (101 KB)
• Marketing Excerpt (107 KB)
• Index (40 KB)
• Table of Contents (59 KB)
• Copyright Information Page (45 KB)