Two Classes Of Partial Differential Equations The Study Of The Stability Of Attractors For

In this paper,we mainly study the stability of attractors for two classes of partial differential equations.Firstly,we study the upper semicontinuity of global attractors for a class of non-classical diffusion equation over unbounded domains.Secondly,we study the upper semicontinuity of pullback attractors for wave equations with small perturbations and Kirchhoff terms.In particular,under suitable assumptions,Firstly,we study the limit behavior of the global attractor on R3 for the non-classical diffusion equation with perturbation.That is,the global attractor satisfies the upper semicontinuity.Secondly,we prove that the pullback attractor {Aε(t)}t∈R of Eq.(4.1.1)with ε∈[0,1]satisfies that for any[α,β]?R and ε0∈[0,1],(?)supt∈[α,β]distH01×L2(Aε(t),Aε0(t))=0.