Criteria for regular spacing of reacting Mach stems.
Nonlinear geometric optics is developed to construct translating self-similar high-frequency nonlinear wave patterns as perturbed solutions behind reacting shock waves. The geometric conditions involving these wave patterns that yield the maximum acoustic amplification lead to criteria for both the formation and regular spacing dimension for Mach stems in reacting gases.
Department of Mathematics and Program in Applied and Computational Mathematics, Princeton University, Princeton, NJ 08544.
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Majda