3 papers
math.AP2020
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…
math.OC2019
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…
math.DS2015
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…