GLOBAL_ATTRACTORS

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The Existence of Global Attractors for 2D Navier-Stokes Equations in H^k Spaces被引量：2
《Acta Mathematica Sinica,English Series》2009年第1期51-58,共8页Yin Di ZHANG Ling Yu SONG Tian MA 
Supported by the NSF of China (Nos. 10571142, 10771167)
In this paper, we prove that the 2D Navier-Stokes equations possess a global attractor in Hk（Ω,R2） for any k ≥ 1, which attracts any bounded set of Hk（Ω,R2） in the H^k-norm. The result is established by means o...
关键词：Navier-Stokes equations semigroup of operator global attractor regularity of attractor 
Global Attractors for a Nonclassical Diffusion Equation被引量：21
《Acta Mathematica Sinica,English Series》2007年第7期1271-1280,共10页Chun You SUN Su Yun WANG Cheng Kui ZHONG 
Supported in part by the NSFC,Grant(10471056);Trans-Century Training Programme Foundation for the Talents of the State Education Commission
We prove the existence of global attractors in H0^1 （Ω） for a nonclassical diffusion equation. Two types of nonlinearity f are considered： one is the critical exponent, and the other is the polynomial growth of ar...
关键词：nonclassical diffusion equation critical exponent polynomial growth of arbitrary order global attractor asymptotic a priori estimate 
Global Attractors for the Initial Value Problems of Cohn-Hilliard Equations on Compact Manifolds
《Acta Mathematica Sinica,English Series》1996年第3期314-325,共12页Guo Boling Wang Youde, Institute of Applied Physics and Computational Mathematics Beijing, 100088 China 
In this paper we establish some theorems which are concerned with the equivalent norms of Sobolev spaces on a Riemannian manifold. Using the theorems we prove the existence of global attractors for the initial value p...
关键词：Global Attractors for the Initial Value Problems of Cohn-Hilliard Equations on Compact Manifolds 
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