Maximal temperature of safe combustion in case of an autocatalytic reaction

We consider the problem of thermal explosion of a gas mixture in the case of an autocatalytic combustion reaction in a homogeneous medium. We determine the maximal temperature on the trajectories located in the transition region between the slow combustion regime and the explosive one

A new type of travelling wave solutions

We study the existence of combustion waves for an autocatalytic reaction in the non-adiabatic case. Basing on the fact that the reaction system has canard solutions separating the slow combustion regime from the explosive one, we prove by applying the geometric theory of singularly perturbed differential equations the existence of a new type of travelling waves solutions, the so-called canard travelling waves

Standard Chase on Black Swans and Canards

The paper is devoted to the study of the relationship between integral manifolds of ordinary differential equations and duck trajectories. We derive sufficient conditions for the existence of continuous slow integral surfaces that are devided into stable and unstable parts and propose a method of construction of surfaces consisting of duck trajectories

New type of travelling wave solutions

We study the existence of combustion waves for an autocatalytic reaction in the non‐adiabatic case. Based on the fact that the reaction system has canard solutions separating the slow combustion regime from the explosive one, we prove by applying the geometric theory of singularly perturbed differential equations the existence of a new type of travelling waves solutions, the so‐called canard travelling waves