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Attractors of non-autonomous reaction–diffusion equations in

✍ Scribed by Haitao Song; Chengkui Zhong

Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
224 KB
Volume
68
Category
Article
ISSN
0362-546X

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✦ Synopsis

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 the existence of the uniform attractor in L p without any restriction on the growing order of the nonlinear term. The attractor attracts all bounded subsets of L p in the norm of L p .

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