带时滞非经典扩散方程依赖于时间的拉回吸引子

吉林大学学报(理学版) ›› 2020, Vol. 58 ›› Issue (1): 15-23.

带时滞非经典扩散方程依赖于时间的拉回吸引子

王芳平, 马巧珍

西北师范大学数学与统计学院, 兰州 730070

收稿日期:2019-05-08 出版日期:2020-01-26 发布日期:2020-01-12
通讯作者: 马巧珍 E-mail:maqzh@nwnu.edu.cn

TimeDependent Pullback Attractors for Nonclassical Diffusion Equations with Time Delays

WANG Fangping, MA Qiaozhen

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received:2019-05-08 Online:2020-01-26 Published:2020-01-12
Contact: MA Qiaozhen E-mail:maqzh@nwnu.edu.cn

摘要/Abstract

摘要： 先运用FaedoGalerkin方法证明带时滞的非经典扩散方程弱解的适定性, 再运用收缩函数的方法给出拉回D渐近紧性, 从而
证明了依赖于时间的拉回吸引子的存在性.

关键词: 非经典扩散方程, 依赖于时间的拉回吸引子, 拉回吸收集, 拉回D渐近紧

Abstract: We first proved the wellposedness of weak solutions for the nonclassical diffusion equations with time delays by using the FaedoGalerkin method, and then we gave the pullback Dasymptotic compactness by using the contraction function method, which proved the existence of timedependent pullback attractor.

Key words: nonclassical diffusion equation, timedependent pullback attractor, pullback absorbing set, pullback

中图分类号:

O175.29

王芳平, 马巧珍. 带时滞非经典扩散方程依赖于时间的拉回吸引子 [J]. 吉林大学学报(理学版), 2020, 58(1): 15-23.

WANG Fangping, MA Qiaozhen. TimeDependent Pullback Attractors for Nonclassical Diffusion Equations with Time Delays[J]. Journal of Jilin University Science Edition, 2020, 58(1): 15-23.