THEORY FOR SPONTANEOUS MACH-STEM FORMATION IN REACTING SHOCK FRONTS. II. STEADY-WAVE BIFURCATIONS AND THE EVIDENCE FOR BREAKDOWN.

Andrew Majda, Rodolfo Rosales

Research output: Contribution to journalArticle

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 languageEnglish (US)
Pages (from-to)117-148
Number of pages32
JournalStudies in Applied Mathematics
Volume71
Issue number2
StatePublished - Oct 1984

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Mach number
Breakdown
Shock
Bifurcation
Detonation Wave
Smooth Solution
Detonation
Conservation Laws
Conservation
Continue
Numerical Experiment
Scalar
Angle
Experiments
Evidence

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 journalArticle

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