Global Attractors For Two Kinds Of Coupled Beam Equations With Memory Terms

There are many researches on global attractors of nonlinear evolution equations,which related to the various fields of natural science and the global attractors of beam process with memory terms has the practical background.In this paper,we mainly study the global at-tractors for two kinds of coupled beam equations,one kind is with nonlinear source term and memory term,and another is with non-local nonlinear damping term and memory ter-m.We proved the existence of the absorbing set and the asymptotic compactness of the₀-semigroups of??,which can further prove the existence of global attractors for the system.The details are as follows:The first chapter introduces the development background and research status of the prob-lems studied in this paper.The main work and results are also summarized in this chapter.The second chapter lists the basic theorems,lemmas,spaces,concepts,and common in-equalities used in this paper.In the third chapter,the existence of global attractors for a class of coupled beam equa-tions with nonlinear source term and memory term are studied.In the fourth chapter,the existence of global attractors for a class of coupled beam equa-tions with non-local nonlinear damping term and memory term are studied.The fifth chapter,we make a simple summary,put forward some questions about the con-tents of this study,and make the next research plan.