西北师范大学学报(自然科学版)Issue(6):11-15,5.
具耗散项波动方程整体吸引子的有限分形维数
Finite fractal dimensions of global attractors for a class of wave equations with dissipation
摘要
Abstract
The initial boundary value problem and fractal dimensions of global attractors for a class of four order nonlinear wave equations with dissipation are studied.By some standard methods,the nonlinear term is estimated.By L-track technique,it is obtained that the attractors of the above mentioned problem has finite fractal dimensions under rather mild conditions.关键词
耗散项/波动方程/整体吸引子/L轨道/有限分形维数Key words
dissipation/wave equations/global attractor/L track/finite fractal dimension分类
数理科学引用本文复制引用
张媛媛,王宏伟..具耗散项波动方程整体吸引子的有限分形维数[J].西北师范大学学报(自然科学版),2014,(6):11-15,5.基金项目
国家自然科学基金资助项目(10971199) (10971199)
河南省教育厅科学技术研究重点项目(13B110137) (13B110137)
2014年开封市工业科技攻关计划项目(1401012) (1401012)