具有平方衰减项的平方自催化开放系统中的化学波研究

建立了开放系统中伴随平方衰减反应的双分子自催化反应理论模型,给出了系统的动力学分析,在给定初边值下解的估计及存在化学波的必要条件、化学波波速的最小值及平方衰减项对化学波的影响.随着衰减系数的增加,平方衰减项逐步成为系统反应中化学波波形的决定因素.

Travelling Waves in an Open Quadralic Autocatalytic Chemical System Coupled with the Quadralic Decay Reaction

Theoretical model of an open quadralic autocatalytic chemical reaction system coupled with the quadratic decay reaction is set up. Through the kinetics analysis, the stability of the two stationary states is found. The estimation of the solution for the initial value and bounds problem is established, and a necessary condition for travelling waves to exist is μ≥φ . The minimum speed of the chemical waves are given, that is c_min=2 δ(μ-φ) . The effect of open quadralic decay reaction on the patterns of the chemical waves is also given. With the increase of the decay parameter, the quadratic decay reaction become progressively a decisive element of wave patterns in the reaction diffusion system.