Uniqueness of traveling fronts in premixed flames with stepwise ignition-temperature kinetics and fractional reaction order
Language
en
Article de revue
This item was published in
Physica D: Nonlinear Phenomena. 2023-11-15, vol. 454, p. 133859
Elsevier
English Abstract
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 was shown in [3] that this system admits ...Read more >
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 was shown in [3] that this system admits a traveling front solution. In the present work, we show that this traveling front is unique up to translations. We also study some qualitative properties of this solution using the combination of formal asymptotics and numerics. Our findings allow conjecture that the velocity of the propagation of the flame front is a decreasing function of all of the parameters of the problem: ignition temperature, reaction order and an inverse of the Lewis number.Read less <
English Keywords
Reaction-diffusion systems
traveling front solution
uniqueness of solution
Origin
Hal imported