A Remark on Partly Dissipative Reaction Diffusion Systems on IRn

作者：Pu Xue ke; Zhang Xing you^*

来源：Acta Mathematicae Applicatae Sinica-English Series, 2008, 24(4): 583-588.

DOI：10.1007/s10255-005-5237-1

• Reaction diffusion equation
• attractor
• asymptotic compactness

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 x L-2 - H-1 x L-2) attractor for a partly dissipative reaction diffusion system in R-n supercript stop. This improves a previous result obtained by A. Rodrigues-Bernal and B. Wang concerning the existence of a compact (L-2 x L-2 - L-2 x L-2) attractor for the same system.

• 出版日期2008-10
• 单位重庆大学; 中国工程物理研究院