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Attractors in and for a class of reaction–diffusion equations

✍ Scribed by Yanhong Zhang; Chengkui Zhong; Suyun Wang

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
576 KB
Volume
72
Category
Article
ISSN
0362-546X

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📜 SIMILAR VOLUMES

Attractors in for a class of reaction–di
Attractors in for a class of reaction–diffusion equations
✍ Yanhong Zhang; Chengkui Zhong; Suyun Wang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 504 KB

A class of nonlinear reaction-diffusion equations is studied. We prove that the semigroup of the solutions for the nonlinear reaction-diffusion equation has a global attractor in L 2 (R N ) under some weaker assumptions than those in other papers we could find.

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Attractors of non-autonomous reaction–diffusion equations in
✍ Haitao Song; Chengkui Zhong 📂 Article 📅 2008 🏛 Elsevier Science 🌐 English ⚖ 224 KB

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

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✍ Le Dung 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 413 KB

We show that weak L p dissipativity implies strong L dissipativity and therefore implies the existence of global attractors for a general class of reaction diffusion systems. This generalizes the results of Alikakos and Rothe. The results on positive steady states (especially for systems of three eq