16 citations · 17 across the 5 of their papers we have counts for
6 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…
Existence of a traveling wave solution in a free interface problem with fractional order kinetics
Claude-Michel Brauner, Robert Roussarie, Peipei Shang +1
In this paper we consider a system of two reaction-diffusion equations that models diffusional-thermal combustion with stepwise ignition-temperature kinetics and fractional reactio…
Singularities of optimal time control-affine systems: the limit case
M. Orieux, R. Roussarie
We study the singularities for minimum time control-affine problems in 4D with 2D controls. After regularization, the problem boils down to the study of a bifurcation around some n…
Analysis of a slow-fast system near a cusp singularity
H. Jardón-Kojakhmetov, Henk W. Broer, R. Roussarie
This paper studies a slow-fast system whose principal characteristic is that the slow manifold is given by the critical set of the cusp catastrophe. Our analysis consists of two ma…
Finite cyclicity of some center graphics through a nilpotent point inside quadratic systems
Robert Roussarie, Christiane Rousseau
In this paper we introduce new methods to prove the finite cyclicity of some graphics through a triple nilpotent point of saddle or elliptic type surrounding a center. After applyi…