1 citations · 1 across the 12 of their papers we have counts for
14 papers
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…
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…
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…
Stability of traveling wave solutions in a credit rating migration Free Boundary Problem
Claude-Michel Brauner, Yuchao Dong, Jin Liang +1
In this paper, we study the stability of traveling wave solutions arising from a credit rating migration problem with a free boundary, After some transformations, we turn the Free…
Uniqueness of traveling fronts in premixed flames with stepwise ignition-temperature kinetics and fractional reaction order
Amanda Matson, Claude-Michel Brauner, Peter V. Gordon
In this paper, we consider a reaction-diffusion system describing the propagation of flames under the assumption of ignition-temperature kinetics and fractional reaction order. It…
Double free boundary problem for defaultable corporate bond with credit rating migration risks and their asymptotic behaviors
Yuchao Dong, Jin Liang, Claude-Michel Brauner
In this work, a pricing model for a defaultable corporate bond with credit rating migration risk is established. The model turns out to be a free boundary problem with two free bou…