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Uniform Exponential Attractor For Nonautonomous Partly DissipativeLattice Dynamical System
ZHOU Sheng-Fan 1 *, Lou Jia-Jia 2
1. Department of Mathematics, Zhejiang Normal University, Jinhua 321004
2. Department of Mathematics, Shanghai Normal University, Shanghai 200234
*Correspondence author
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Funding: 高等学校博士学科点专项科研基金（No.200802700002）
Opened online:12 January 2012
Accepted by: none
Citation: ZHOU Sheng-Fan, Lou Jia-Jia.Uniform Exponential Attractor For Nonautonomous Partly DissipativeLattice Dynamical System[OL]. [12 January 2012] http://en.paper.edu.cn/en_releasepaper/content/4459738
 
 
In this paper, we consider the existence of auniform exponential attractor for the nonautonomous partly dissipativelattice dynamical system with quasiperiodic external forces. First we prove the existence and uniqueness of solutions and the solution mapping generates a continuous process on the phase space. Second we consider the uniformly boundedness of the solutions and the existence of a bounded absorbing set. Then we prove the Lipschitz property of solutions and obtain the estimation between two solutions by the method of ``end estimate". Finally we get the existence of a uniform exponential attractor for the continuous process associated with the considered system.
Keywords: Nonautonomous; Partly dissipative latticesystems; Uniform exponential attractors; Continuous processes
 
 
 

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