一类非自治地球物理方程的拉回指数吸引子  

Pullback exponential attractor for a kind of non-autonomous geophysical equation

作　　者：韩英豪[1] 傅雪 周雪莹 李铮 HAN Yinghao;FU Xue;ZHOU Xueying;LI Zheng(School of Mathematics, Liaoning Normal University, Dalian 116029, China)

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029

出　　处：《辽宁师范大学学报（自然科学版）》2021年第4期438-443,共6页Journal of Liaoning Normal University:Natural Science Edition

基　　金：国家自然科学基金资助项目(61304056)。

摘　　要：在过去的数十年里,许多数学家致力于研究大气和海洋耦合原始方程的适定性及长时间动力行为.因为动力系统长时间行为可以提供关于系统未来演化的有用信息,所以成为一个重要的和有挑战性的研究课题.拉回指数吸引子是描述非自治动力系统长期行为的一个适当概念.主要目的是对于热源施加适当的假设条件下证明大尺度海洋和大气动力学的三维非自治原始方程组的拉回指数吸引子的存在性.In the past few decades,many mathematicians have been working on the well-posedness and long-time dynamical behaviour of primitive equations of the atmosphere and ocean coupling.The long-time behavior of dynamical systems is an important and challenging problem,since it can provide useful information on the future evolution of the system.Pullback exponential attractors is a suitable notion describing the long time behavior of non-autonomous dynamical systems.The main objective of this paper is to prove the existence of a pullback exponential attractor for the three dimensional non-autonomous primitive equations of large-scale ocean and atmosphere dynamics under some slightly strong assumptions on the heat source.

关 键 词：地球物理方程 拉回指数吸引子 非自治系统 

分 类 号：O175.29[理学—数学] O211.63[理学—基础数学]