Global Existence,Asymptotic Behavior and Uniform Attractors for a Third Order in Time Dynamics  

一个关于时间三阶动力学模型解的整体存在性,渐近性和一致吸引子（英文）

作　　者：曹洁 

机构地区：[1]College of Information Science and Technology,Donghua University

出　　处：《Chinese Quarterly Journal of Mathematics》2016年第3期221-236,共16页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(11271066);Supported by the Shanghai Education Commission(13ZZ048)

摘　　要：In this paper, a third order（in time） partial differential equation in R^n is con-sidered. By using semigroup method and constructing Lyapunov function, we establish the global existence, asymptotic behavior and uniform attractors in nonhomogeneous case. In addition, we also obtain the results of well-uosedness in semilinear case.

关 键 词：third order in time dynamics WELL-POSEDNESS asymptotic behavior uniform attractors 

分 类 号：O175.29[理学—数学]