A Resonant Triad Model

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李群分析在地球物理流体动力学中的应用作者：Ranis Ibragimov,Nail Ibragimov　　 ISBN：978-7-04-031954-5　出版时间：2011-04-25

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内封

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目录

Front Matter

Part I InternalWaves in Stratified Fluid

1 Introduction

2 Governing Equations

3 Two Model Examples

Part II Introduction to Lie Group Analysis

4 Calculus of Differential Algebra

5 Transformation Groups

6 Symmetry of Differential Equations

7 Applications of Symmetry

Part III Group Analysis of InternalWaves

8 Generalities

9 Conservation Laws

10 Group Invariant Solutions

A Resonant Triad Model

References

Index
- A.1 Weakly nonlinear model
- A.2 Two questions
- A.3 Solutions to the resonance conditions
- A.4 Resonant triad model
- A.4.1 Utilization of the GM spectrum
- A.4.2 Model example: Energy conservation for two resonant triads
- A.4.3 Model example: Resonant interactions between 20 000 internal waves
- A.5 Stability of the GM spectrum and open question on dissipation modelling

A Resonant Triad Model

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