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Asymptotics of Solutions in nA+nBC Reaction–Diffusion Systems

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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+nBC. 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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Received: 1 May 1999 / Accepted: 12 September 1999

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van Baalen, G., Schenkel, A. & Wittwer, P. Asymptotics of Solutions in nA+nBC Reaction–Diffusion Systems. Comm Math Phys 210, 145–176 (2000). https://doi.org/10.1007/s002200050775

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  • DOI: https://doi.org/10.1007/s002200050775

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