阻尼KdV-Burgers方程全局吸引子的维数  

Dimension of the Global Attractor for Damped Kd V-Burgers Equations on R

作　　者：郭延涛[1] 陈学勇[1] GUO Yantao;CHEN Xueyong(School of Mathematics and Statistics,Xuchang University,Xuchang 461000,China)

机构地区：[1]许昌学院数学与统计学院,河南许昌461000

出　　处：《应用数学》2020年第4期922-928,共7页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(11772291);the Key Project of Xuchang City (2019-JC-07);the Young Teacher Foundation of Xuchang University(2019A007)。

摘　　要：本文研究定义在R上KdV-Burgers方程全局吸引子的分形维数,利用Chueshov和Lasiecka提出的拟稳态估计方法证明方程全局吸引子分形维数在H^1空间中有限.In this paper, we study the dimension of the global attractor for damped KdV-Burgers equation on R. We investigate the quasi-stability of the solutions and prove that the global attractor has finite fractal dimension in H^1 by the method that Chueshov and Lasiecka developed(2008).

关 键 词：全局吸引子 分形维数 KDV-BURGERS方程 

分 类 号：O175.2[理学—数学]