This article studies propagating wave fronts in an isothermal chemical reaction A + nB →(n + 1)B involving two chemical species,a reactant A and an auto-catalyst B whose diffusion coefficients,DA and DB,are unequal d...This article studies propagating wave fronts in an isothermal chemical reaction A + nB →(n + 1)B involving two chemical species,a reactant A and an auto-catalyst B whose diffusion coefficients,DA and DB,are unequal due to different molecular weights and/or sizes.More accurate bounds v* and v* that depend on DB/DA,when the ratio is less than 1,are derived such that there is a unique travelling wave of every speed v v* and there does not exist any travelling wave of speed v < v*.The refined bounds for DB/DA < 1 case is compatible to what has been shown in earlier work for DB/DA > 1 when n 3.展开更多
基金supported by Shanxi Bairen PlanNational Natural Science Foundation of China (Grant No. 11001157)
文摘This article studies propagating wave fronts in an isothermal chemical reaction A + nB →(n + 1)B involving two chemical species,a reactant A and an auto-catalyst B whose diffusion coefficients,DA and DB,are unequal due to different molecular weights and/or sizes.More accurate bounds v* and v* that depend on DB/DA,when the ratio is less than 1,are derived such that there is a unique travelling wave of every speed v v* and there does not exist any travelling wave of speed v < v*.The refined bounds for DB/DA < 1 case is compatible to what has been shown in earlier work for DB/DA > 1 when n 3.
