- 99-116 Guillaume van Baalen Alain Schenkel Peter Wittwer
- Asymptotics of solutions in $nA+nB\to C$ reaction-diffusion systems
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Apr 15, 99
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Abstract. We analyze the long time behavior of initial value problems that model a process where particles of type $A$ and $B$ diffuse in some substratum and react according to $nA+nB\rightarrow C.$ The case $n=1$ has been studied before; it presents nontrivial behavior on the reactive scale only. In this paper we discuss in detail the cases $n>3,$ and prove that they show nontrivial behavior on the reactive and the diffusive length scale.