耗散的量子Zakharov方程解的渐进性行为  

Asymptotic Behavior of the Solutions for Dissipative Quantum Zakharov Equations

作　　者：郭艳凤[1,2] 郭柏灵[2] 李栋龙[1] 

机构地区：[1]广西工学院信息与计算科学系,广西柳州545006 [2]北京应用物理与计算数学研究所,北京100088

出　　处：《应用数学和力学》2012年第4期486-499,共14页Applied Mathematics and Mechanics

基　　金：国家自然科学基金资助项目(11061003)

摘　　要：主要研究量子Zakharov方程.在先验估计的基础上通过标准的Galerkin逼近方法得到了量子Zakharov方程解的存在唯一性.同时,也讨论了相应的解的渐进性行为,并且构造出在不同的能量空间上弱拓扑意义下的全局吸引子.The dissipative quantum Zakharov equations were mainly studied. The existence and uniqueness of the solutions for dissipative quantum Zakharov equations were proved by the standard Galerkin approximation method on the basis of a priori estimates. Meanwhile, the asymptotic behavior of solutions and the global attractor which was constructed in energy space equipped with weak topology were also investigated.

关 键 词：量子Zakharov方程 吸收集 全局吸引子 

分 类 号：O175.2[理学—数学]