弱阻尼非线性方程Schrodinger-Boussinesq方程的惯性分形集  

Inertial Fractal Sets for Weakly Damped Nonlinear Schrdinger-Boussinsq Equation

作　　者：李有慧[1] 冀小明[1] 

机构地区：[1]成都航空职业技术学院

出　　处：《西南民族学院学报（自然科学版）》2001年第3期281-285,共5页Journal of Southwest Nationalities College(Natural Science Edition)

摘　　要：郭柏林、陈风新在《弱阻尼非线性Schr¨odinger Boussinesq方程的整体吸引子》一文中 ,证明了弱阻尼非线性Schr¨odinger Boussinesq方程在R1上存在一个弱紧吸引子 .在此基础上 ,证明弱阻尼非线性Schr¨odinger Boussinesq方程在R1上存在惯性分形集 .In their 'finite dimensional global attractor for weakly damped nonliner Schrdinger-Boussinesq equations', Guo Bolin and Chen Feng proved the existence of weaklytight attractor for Schrdinger-Boussinesq equation in R 1. Based on the achievement, the existence of inertial fractal sets for Schrdinger-Boussinesq equation in R 1 is proved.

关 键 词：Schrodinger-Boussinesq方程 弱紧吸引子 挤压性 惯性分形集 弱阻尼 非线性 E1空间 

分 类 号：O175.29[理学—数学]