动态边界上随机波动方程的吸引子

杨墨; 富娜

doi:10.21656/1000-0887.380254

动态边界上随机波动方程的吸引子

doi: 10.21656/1000-0887.380254

杨墨,
富娜

西南交通大学数学学院, 成都 610031

基金项目: 国家自然科学基金(71273214)；中央高校基本科研业务费(SWJTU12ZT13)

详细信息

作者简介:
杨墨(1991—), 男，硕士生(通讯作者. E-mail: 251160504@qq.com).

中图分类号: O175; O19
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- 被引次数: 0
出版历程
- 收稿日期: 2017-09-08
- 修回日期: 2017-11-14
- 刊出日期: 2018-09-15

Attractors of Stochastic Wave Equations With Nonlinear-Damping and Dynamic Boundary Conditions

YANG Mo,
FU Na

School of Mathematics, Southwest Jiaotong University, Chengdu 610031, P.R.China

Funds: The National Natural Science Foundation of China(71273214)

摘要

摘要: 研究了一类动态边界上的随机波动方程.通过建立一种分解技术，证明了方程随机吸引子的存在性.分解同时表明，该吸引子上的点（或者解）一定满足某种稳定的边界条件.最后，证明了吸引子的结构与分解所得的静态边界上波动方程的随机吸引子相同.
- 动态边界条件 /
- 波动方程 /
- 随机吸引子
Abstract: A class of wave equations with dynamic boundary conditions were studied. Through suitable decomposition, the existence of the stochastic attractor was proved. The decomposition shows that the point (or solution) of the attractor satisfies some stationary boundary condition. Finally, the attractor also exists in the stochastic dynamic system determined by the stochastic wave equation with the static boundary condition developed in decomposition.
- dynamic boundary condition /
- wave equation /
- stochastic attractor

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参考文献(14)

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