IJPAM: Volume 43, No. 1 (2008)

GLOBAL ATTRACTORS OF STRONG SOLUTION FOR
THE KOLMOGOROV-SPIEQEL-SIVASHINSKY EQUATION

Su-Yun Wang$^1$, Shi-Xiang Ma$^2$
$^{1,2}$Department of Mathematics
Lanzhou City University
Lanzhou, 730070, P.R. CHINA
$^1$e-mail: wangsy@lzcu.edu.cn
$^2$e-mail: masx@lzcu.edu.cn


Abstract.Using a method based on the non-compactness measure theory, we prove the existence of global attractors for the Kolmogorov-Spieqel-Sivashinsky equation in $H_{per}^{3}(\Omega)$ and $H_{per}^{4}(\Omega)$.

Received: January 11, 2008

AMS Subject Classification: 35B05, 37L05

Key Words and Phrases: Kolmogorov-Spieqel-Sivashinsky equation, strong solution, global attractor

Source: International Journal of Pure and Applied Mathematics
ISSN: 1311-8080
Year: 2008
Volume: 43
Issue: 1