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Pullback attractors for non-autonomous reaction-diffusion equations on ℝn

✍ Scribed by Bixiang Wang

Book ID
107377955
Publisher
Higher Education Press and Springer
Year
2009
Tongue
English
Weight
232 KB
Volume
4
Category
Article
ISSN
1673-3452

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We prove some regularity results for the pullback attractor of a reaction-diffusion model. First we establish a general result about H 2 -boundedness of invariant sets for an evolution process. Then, as a consequence, we deduce that the pullback attractor of a nonautonomous reaction-diffusion equati

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In this paper, a new theorem which is proved in [S.S. Lu, H.Q. Wu, C.K. Zhong, Attractors for non-autonomous 2D Navier-Stokes equations with normal external forces, Discrete Contin. Dyn. Syst. 13 (3) (2005) 701-719] is applied to a nonlinear reaction-diffusion equation with normal forces. We obtain