3 papers
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…
nlin.PS2024
On dynamics of gasless combustion in slowly varying periodic media: periodic fronts, their stability and propagation-extinction-diffusion-reignition pattern
Amanda Matson, Leonid Kagan, Claude-Michel Brauner +2
In this paper we consider a classical model of gasless combustion in a one dimensional formulation under the assumption of ignition temperature kinetics. We study the propagation o…
physics.flu-dyn2023
An elementary model for an advancing autoignition front in laminar reactive co-flow jets injected into supercritical water
Amanda Matson, Michael C. Hicks, Uday G. Hegde +1
In this paper we formulate and analyze an elementary model for the propagation of advancing autoignition fronts in reactive co-flow fuel/oxidizer jets injected into an aqueous envi…