Critical Traveling Waves in a Flow Reactor Model

被引:0
|
作者
Shchepakina, Elena [1 ]
机构
[1] Samara Natl Res Univ, Dept Tech Cybernet, Samara, Russia
关键词
critical traveling waves; invariant manifold; canard; flow reactor model; combustion; explosion; INTEGRAL MANIFOLDS; COMBUSTION;
D O I
10.1109/ITNT49337.2020.9253222
中图分类号
TP7 [遥感技术];
学科分类号
081102 ; 0816 ; 081602 ; 083002 ; 1404 ;
摘要
The paper deals with a special type of traveling waves in a combustion model. A non-adiabatic case of autocatalytic combustion reaction in one spatial dimension is considered. The existence of critical traveling waves is stated. The critical traveling waves play the role of an intermediate form, they separate the waves of slow burnout and waves corresponding to the thermal explosion. It is shown that the profiles of the critical waves are canards. An asymptotic representation for the speed of the critical traveling wave is obtained.
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页数:5
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