Asymptotics of solutions in nA+nB->C reaction Diffusion systems
Guillaume van Baalen, Alain Schenkel, Peter Wittwer
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 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.
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