Theory of Shock Waves
Final rept. (progress rept.)
INSTITUTE FOR ADVANCED STUDY PRINCETON NJ
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The basic mathematical problems of the theory of shock waves in compressible fluids are formulated and discussed. Specific results obtained are considered from the standpoint of the general theory. The material treated is the origin of explosions and the propagation of their effects. Terminal problems--that is, problems of damage--are not considered. The topics included are the conservation laws and the differential equation the role of entropy, vorticity, and the Riemann invariants natural boundary conditions the need for discontinuities the conservation laws and the discontinuities formulation of the basic problems of discontinuities the origin of shock the interaction of shocks linear and oblique cases classification of reaction shocks and analysis of detonation. Reaction shocks is the term used for shock waves frequently denoted as detonation waves.
- Fluid Mechanics