摘要
考虑一个双曲抛物系统的初边值问题,当动能函数为非线性函数且初始值的H^2范数任意大时,得到了全局光滑解的存在性和指数稳定性.这些结果推广了以前相关的结果,因为以前相关的结果都是关于线性的动能函数或者初始值的H^2范数充分小的情形.
The initial boundary value problem for a generalized hyperbolic-parabolic system was considered. When nonlinear kinetics and smooth initial data which have small L2 -norm energy, may have arbitrarily large H2-norm energy, existence and exponential stability of global smooth solutions were obtained. These results generalize previous related results on smooth solutions for kinetic function being linear or H2-norm of the initial data being sufficiently small.
出处
《湖南理工学院学报（自然科学版）》
CAS
2011年第3期9-11,47,共4页
Journal of Hunan Institute of Science and Technology(Natural Sciences)
基金
湖南省教育厅项目(11C0628)
湖南理工学院科研项目(2011Y49)
关键词
双曲抛物系统
全局光滑解
存在性
指数稳定性
hyperbolic-parabolic system
global smooth solutions
existence
exponential stability
