Title

The Global Self-Similarity Of A Chemical Reaction System With Critical Nonlinearity

Abstract

In this paper, we study the Cauchy problem of a cubic autocatalytic chemical reaction system ul,t = u1,xx - u 1u22, u2,t = du2,xx + u1u22 with non-negative initial data, where the constant d > 0 is the Lewis number. Our purpose is to study the global dynamics of solutions under mild decay of initial data as |x| → ∞. In particular, we show that, for a substantial class of L1 initial data, the exact large-time behaviour of solutions is characterized by a universal, non-Gaussian spatio-temporal profile, subject to the apparent conservation of total mass. © 2007 The Royal Society of Edinburgh.

Publication Date

9-6-2007

Publication Title

Proceedings of the Royal Society of Edinburgh Section A: Mathematics

Volume

137

Issue

4

Number of Pages

867-883

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1017/S0308210506000485

Socpus ID

34548317125 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/34548317125

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