摘要
研究在R上具有周期边界条件的半离散5阶非线性KdV型方程解的长时间行为.首先利用Crank-Nicolson格式对其进行离散,然后证明了该方程在H5上紧的全局吸引子的存在.
We study the long-time behaviour of a semi discrete KdV equation in R1 with a periodical bound- ary. First, we use the Crank-Nicolson scheme to discrete this equation to prove that such a semi-discrete e- quation possesses a global attractor in H5^. Then we show that this global attractor is actually a compact set of H5^.
出处
《西南大学学报（自然科学版）》
CAS
CSCD
北大核心
2015年第3期82-86,共5页
Journal of Southwest University(Natural Science Edition)
基金
国家自然科学基金项目(61273020
11071266)
西南大学博士后基金(102060-207153)
