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 |
| State | Published - Oct 1984 |
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ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
Cite this
THEORY FOR SPONTANEOUS MACH-STEM FORMATION IN REACTING SHOCK FRONTS. II. STEADY-WAVE BIFURCATIONS AND THE EVIDENCE FOR BREAKDOWN. / Majda, Andrew; Rosales, Rodolfo.
In: Studies in Applied Mathematics, Vol. 71, No. 2, 10.1984, p. 117-148.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - THEORY FOR SPONTANEOUS MACH-STEM FORMATION IN REACTING SHOCK FRONTS. II. STEADY-WAVE BIFURCATIONS AND THE EVIDENCE FOR BREAKDOWN.
AU - Majda, Andrew
AU - Rosales, Rodolfo
PY - 1984/10
Y1 - 1984/10
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=0021502432&partnerID=8YFLogxK
M3 - Article
VL - 71
SP - 117
EP - 148
JO - Studies in Applied Mathematics
JF - Studies in Applied Mathematics
SN - 0022-2526
IS - 2
ER -