Collected Works of H. S. Tsien (1938-1956)

The Poincaré-Lighthill-Kuo Method

H.S. Tsien

(Daniel and Florence Guggenheim, Jet Propulsion Center, California Institute of Technology, Pasadena, California)

Contents

I. Introduction

1. Histotical Development

2. Simple Example

3. Essential Features of the PLK Method

II. Ordinary Differential Equations

1. Equations of First Order

2. Case of q₀ > 0

3. Case of q₀ = 0

4. Case of q₀ < 0

5. Equations Requiring the Boundary Layer Method

6. Second Order Equations

7. Irregular Singularity

8. Combined Method; Sink Flow of a Viscous Gas

III. Hyperbolic Pastial Differential Equations

1. Generalization to Hyperbolic Equations

2. Progressive Wave Far from Source

3. Solution for Progressive Waves

4. Uniformly Valid Solution with Initial Condition

5. Perturbation ...