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A remark on partly dissipative reaction diffusion systems on IRn

A remark on partly dissipative reaction diffusion systems on IRn The long time behavior of the solutions of some partly dissipative reaction diffusion systems is studied. We prove the existence of a compact (L 2 × L 2 − H 1 × L 2) attractor for a partly dissipative reaction diffusion system in R n . This improves a previous result obtained by A. Rodrigues-Bernal and B. Wang concerning the existence of a compact (L 2 × L 2 − L 2 × L 2) attractor for the same system. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Acta Mathematicae Applicatae Sinica Springer Journals

A remark on partly dissipative reaction diffusion systems on IRn

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Publisher
Springer Journals
Copyright
Copyright © 2008 by Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences and Springer-Verlag GmbH
Subject
Mathematics; Applications of Mathematics; Math Applications in Computer Science; Theoretical, Mathematical and Computational Physics
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/s10255-005-5237-1
Publisher site
See Article on Publisher Site

Abstract

The long time behavior of the solutions of some partly dissipative reaction diffusion systems is studied. We prove the existence of a compact (L 2 × L 2 − H 1 × L 2) attractor for a partly dissipative reaction diffusion system in R n . This improves a previous result obtained by A. Rodrigues-Bernal and B. Wang concerning the existence of a compact (L 2 × L 2 − L 2 × L 2) attractor for the same system.

Journal

Acta Mathematicae Applicatae SinicaSpringer Journals

Published: Oct 12, 2008

References