一类四阶非线性发展方程的整体吸引子  

Global Attractor for a Class of Fourth-Order Nonlinear Evolution Equations

作　　者：杨佳雪 段宁 YANG Jiaxue;DUAN Ning(College of Sciences,Northeastern University,Shenyang 110004,China)

机构地区：[1]东北大学理学院,沈阳110004

出　　处：《吉林大学学报（理学版）》2022年第4期793-799,共7页Journal of Jilin University:Science Edition

基　　金：国家自然科学基金(批准号:11401258);江苏省自然科学基金(批准号:BK20170172).

摘　　要：利用解的先验估计和算子半群的渐近紧性,考虑描述动力学控制晶体生长过程的四阶非线性发展方程的整体动力学行为,证明当方程的初值属于H^(1)(0,1)时,在H^(4)(0,1)空间中方程整体吸引子的存在性.By using a priori estimates of the solution and the asymptotic compactness of the operator semigroup,we considered the global dynamic behavior of a fourth-order nonlinear evolution equation describing the dynamic controll of crystal growth process,and proved the existence of global attractor of the equation in H^(4)(0,1)space when the initial value of the equation belonged to H^(1)(0,1).

关 键 词：整体吸引子 非线性发展方程 整体弱解 

分 类 号：O175.4[理学—数学]