Flame propagation in a porous medium

被引：7
|
作者：
Ghazaryan, Anna [1 ]
Lafortune, Stephane [2 ]
Linhart, Choral [2 ]
机构：
[1] Miami Univ, Dept Math, 301 S Patterson Ave, Oxford, OH 45056 USA
[2] Coll Charleston, Dept Math, Charleston, SC 29424 USA
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2020年 / 413卷
关键词：
Combustion modeling; Traveling front; Singularly perturbed system; Reaction-diffusion system; Geometric singular perturbation theory; TRAVELING-WAVES; COMBUSTION WAVES; STABILITY; INSTABILITY; DIFFUSION; FRONTS; EQUATION;
D O I：
10.1016/j.physd.2020.132653
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a specific parameter regime in a model for combustion in hydraulically resistant porous media. We prove the existence of the traveling fronts in this regime and investigate their stability. The existence is proved using Geometric Singular Perturbation theory. The stability analysis involves locating the spectrum of the linearization of the underlying system about the front by numerical computation of the Evans function combined with energy-like estimates. Furthermore, a conclusion about nonlinear stability is also obtained. (C) 2020 Elsevier B.V. All rights reserved.
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页数：14
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