__Table of Contents__

The Pure Initial Value Problem, and the Riemann Problem

The Riemann Problem

Hyperbolic Partial Differential Equations

Characteristics of Gas Dynamics (1)

Characteristics of Gas Dynamics (2)

Characteristics of Gas Dynamics (3)

Characteristics of Gas Dynamics (4)

Characteristics of Gas Dynamics (5)

Shock Waves

Rankine-Hugoniot Equations (1)

Rankine-Hugoniot Equations (2)

Rankine-Hugoniot Equations for Gas Dynamics (1)

Rankine-Hugoniot Equations for Gas Dynamics (2)

Self-Similarity

Rarefaction Waves in Gas Dynamics

The Riemann Wave Curve (1)

The Riemann Wave Curve (2)

The Riemann Wave Curve (perfect gas)

Solution of the Riemann Problem for gas dynamics (1)

Solution of the Riemann Problem for gas dynamics (2)

Graphical Solution of the Riemann Problem for Gas Dynamics

Exercises