American Institute of Mathematical Sciences

Advanced
2007, 2007(Special): 713-720. doi: 10.3934/proc.2007.2007.713

Exponential attractors for a quasilinear parabolic equation

Kei Matsuura 1, and  Mitsuharu Otani 2,

1. 

Advanced Research Institute for Science and Engineering, Waseda University, Tokyo, 169-8555
2. 

Department of Applied Physics Waseda University, 3-4-1 Okubo Shinjuku-ku, Tokyo 169, Japan

Received  September 2006 Revised  July 2007 Published  September 2007

Global attractors and exponential attractors are constructed for some quasilinear parabolic equations. The construction for the exponential attractor is carried out within the framework of the method of $l$-trajectories.
Keywords: quasilinear parabolic equation., Exponential attractor.
Mathematics Subject Classification: Primary: 37L30, ; Secondary: 35K5.
Citation: Kei Matsuura, Mitsuharu Otani. Exponential attractors for a quasilinear parabolic equation. Conference Publications, 2007, 2007 (Special) : 713-720. doi: 10.3934/proc.2007.2007.713
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