Finite Dimensional Behavior for Forced Nonlinear Sobolev-Galpern Equations  

作　　者：Ya-dongShang Bo-lingGuo 

机构地区：[1]DepartmentofMathematics,GuangzhouUniversity,Guangzhou510405,China [2]InstituteofAppliedPhysicsandComputationalMathematics,P.O.Box8009,Beijing100088,China

出　　处：《Acta Mathematicae Applicatae Sinica》2004年第2期247-256,共10页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China (No.10271034)

摘　　要：This paper deals with the asymptotic behavior of solutions for the nonlinear Sobolev-Galpernequations.We first show the existence of the global weak attractor in H^2(Ω)∩H_0~1(Ω) for the equations.Andthen by an energy equation we prove that the global weak attractor is actually the global strong attractor.Thefinite-dimensionality of the global attractor is also established.This paper deals with the asymptotic behavior of solutions for the nonlinear Sobolev-Galpernequations.We first show the existence of the global weak attractor in H^2(Ω)∩H_0~1(Ω) for the equations.Andthen by an energy equation we prove that the global weak attractor is actually the global strong attractor.Thefinite-dimensionality of the global attractor is also established.

关 键 词：Nonlinear Sobolev-Galpern equations asymptotic behavior global attractor energy equation weak continuity 

分 类 号：O175.8[理学—数学]