Lecture 5: Linearized supersonic flow. Shock waves. The Riemann problem.

Examples of linearized supersonic flow: 2D airfoil theory; flow past a slender body of revolution.
Shocks in scalar wave equations. The compressive piston problem.
The normal shock wave.

Suggested reading

• Landau & Lifshitz: 470-479.
• Courant and Friedrichs: pp pp. 134-138,181-82,  sections 53, 60, 152.