|
个人信息Personal Information
副教授
招生学科专业：
应用统计 -- 【招收硕士研究生】 -- 数学学院
数学 -- 【招收硕士研究生】 -- 数学学院
学历：兰州大学
学位：理学博士学位
所在单位：理学院
电子邮箱：
LIMITING BEHAVIOR OF TRAJECTORY ATTRACTORS OF PERTURBED REACTION-DIFFUSION EQUATIONS
点击次数：
所属单位：理学院
发表刊物：DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B
关键字：Reaction-diffusion equations perturbation trajectory attractor global attractor convergence fractal dimension
摘要：In this paper, we study the relations between the long-time dynamical behavior of the perturbed reaction-diffusion equations and the exact reaction-diffusion equations with concave and convex nonlinear terms and prove that bounded sets of solutions of the perturbed reaction-diffusion equations converges to the trajectory attractor u(0) of the exact reaction-diffusion equations when t -> infinity and epsilon -> 0(+). In particular, we show that the trajectory attractor u(epsilon) of the perturbed reaction-diffusion equations converges to the trajectory attractor u(0) of the exact reaction-diffusion equations when epsilon -> 0(+). Moreover, we derive the upper and lower bounds of the fractal dimension for the global attractor of the perturbed reaction-diffusion equations.
ISSN号：1531-3492
是否译文：否
发表时间：2019-10-01
通讯作者：岳高成