Abstract
This paper continues earlier work of the authors on a theory for spontaneous Mach-stem formation. Shock formation in smooth solutions of the scalar integrodifferential conservation law from paper I is demonstrated through detailed numerical experiments-this completes the basic argument from paper I. The steady-state bifurcation of planar detonation waves into "shallow-angle" reactive Mach stem structures is analyzed. The conclusions of this analysis agree with those predicted through the time-dependent asymptotics in paper I and provide a completely independent confirmation of that theory.
Original language | English (US) |
---|---|
Pages (from-to) | 117-148 |
Number of pages | 32 |
Journal | Studies in Applied Mathematics |
Volume | 71 |
Issue number | 2 |
DOIs | |
State | Published - Oct 1 1984 |
ASJC Scopus subject areas
- Applied Mathematics