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math.AP2026
Existence and uniqueness of traveling fronts for a free interface model of autoignition in reactive jets
Mingxin Ma, Peter V. Gordon, Robert Roussarie +2
In this paper we consider a one-dimensional reaction-diffusion model with piecewise continuous reaction term that describes propagation of autoignition fronts in reactive co-flow j…
math.AP2026
Slow-fast system in Rosales-Majda combustion model with fractional order kinetics
Claude-Michel Brauner, Jinlong Jing, Robert Roussarie
We consider traveling wave solutions of a one-dimensional model for detonation waves derived by Rosales and Majda, when the reaction order belongs to . The chemical kine…