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
Copyright Status
Unknown
Socpus ID
34548317125 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/34548317125
STARS Citation
Qi, Y. W., "The Global Self-Similarity Of A Chemical Reaction System With Critical Nonlinearity" (2007). Scopus Export 2000s. 6371.
https://stars.library.ucf.edu/scopus2000/6371