Asymptotics of solutions in nA+nB->C reaction Diffusion systems

Details Asymptotics of solutions in nA+nB->C reaction Diffusion systems Asymptotics of solutions in nA+nB->C reaction Diffusion systems

1999-04-15

arxiv.org/abs/math-ph/9904013v1

Physics

Mathematical Physics

22 pages, 1 figure

Scientific paper

10.1007/s002200050775

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 $nA+nB\to C$. 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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