The Global Dynamics of Isothermal Chemical Systems with Critical Nonlinearity

Authors

Yi Li, Wright State University - Main CampusFollow
Yuanwei Qi

Document Type

Article

Publication Date

5-2003

Abstract

In this paper, we study the Cauchy problem of a cubic autocatalytic chemical reaction system u_1,t = u_1,xx − u^α₁ u^β₂, u_2,t = du_2,xx+ u^α₁ u^β₂ with non-negative initial data, where the exponents α,β satisfy 1<α,βd>0 is the Lewis number. Our purpose is to study the global dynamics of solutions under mild decay of initial data as |x|→∞. We show the exact large time behaviour of solutions which is universal.

Comments

Available for download is the unpublished, author's version of this article. The final, publisher's version is available via http://dx.doi.org/10.1088/0951-7715/16/3/315.

Repository Citation

Li, Y., & Qi, Y. (2003). The Global Dynamics of Isothermal Chemical Systems with Critical Nonlinearity. Nonlinearity, 16 (3), 1057-1074.
https://corescholar.libraries.wright.edu/math/110

DOI

10.1088/0951-7715/16/3/315