Department of Mathematics and Statistics
University of South Florida
Tampa, FL 33620, USA
email: you@mail.usf.edu
Yuncheng You
Abstract:
In this work the existence of a global attractor for the semiflow
of weak solutions of a two-cell Brusselator system is proved.
The method of grouping estimation is exploited to deal with
the challenge in proving the absorbing property and the
asymptotic compactness of this type of coupled reaction-diffusion
systems with cubic autocatalytic nonlinearity and linear coupling.
It is proved that the Hausdorff dimension and the fractal dimension
of the global attractor are finite. Moreover, the existence of an
exponential attractor for this solution semiflow is shown.
Submitted July 28, 2010. Published February 10, 2011.
Math Subject Classifications: 37L30, 35B40, 35B41, 35K55, 35K57, 80A32, 92B05.
Key Words: Reaction-diffusion system; Brusselator; two-cell model;
global attractor; absorbing set; asymptotic compactness;
exponential attractor.
Show me the PDF file (387 KB), TEX file, and other files for this article.
|
Yuncheng You Department of Mathematics and Statistics University of South Florida Tampa, FL 33620, USA email: you@mail.usf.edu |
|---|
Return to the EJDE web page