主 题: Global Dynamics and Traveling Fornts of Reaction-diffusion System Arising from Auto-Catalysis
报告人: 齐远伟 教授(University of Central Florida)
时 间: 2010-11-26 14:00-15:00
地 点: 理科一号楼1114(数学所活动)
In this talk, I shall report some of my recent works on global
dynamics and traveling wave fronts in an isothermal chemical
reaction $ A 2B \\rightarrow 3B$ involving two chemical species, a
reactant $A$ and an auto-catalyst $B$ whose diffusion coefficients,
$D_A$ and $D_B$, are unequal due to different molecular weights and/or sizes.
We give detailed analysis of large time behaviour when initial values decay
to zero at infinity. In addition, Explicit bounds $v_*$ and $v^*$ that depend
on $D_B/D_A$ are derived such that there is a unique travelling wave of every speed
$v\\geqslant v^*$ and there does not exist any travelling wave of
speed $v
