Global Attractors for Nonclassical Diffusion Equations of Kirchhoff Type

被引：0
|
作者：
汪永海 [1 ]
王灵芝 [2 ]
机构：
[1] Department of Applied Mathematics, Donghua University
[2] College of Management, Shanghai University of Engineering Science
来源：
JournalofDonghuaUniversity(EnglishEdition) | 2012年 / 29卷 / 04期
基金：
中国国家自然科学基金;
关键词：
global attractor; nonclassical diffusion; upper semicontinuity;
D O I：
10.19884/j.1672-5220.2012.04.005
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this article, the well-posedness and long-time behavior of a nonclassical diffusion equation of Kirchhoff type are considered. Using the method of Galerkin approximation, the existence and uniqueness of solutions are proved. At last, the existence of global attractors and its upper semicontinuous property are discussed.
引用
收藏
页码：305 / 310
页数：6
相关论文
共 50 条
  • [31] Strong global attractors for nonclassical diffusion equation with fading memory
    Yubao Zhang
    Xuan Wang
    Chenghua Gao
    Advances in Difference Equations, 2017
  • [32] Strong Solutions and Global Attractors for Kirchhoff Type Equation
    Chen, Xiangping
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2018, 2018
  • [33] GLOBAL ATTRACTORS FOR A KIRCHHOFF TYPE PLATE EQUATION WITH MEMORY
    Yao, Xiaobin
    Ma, Qiaozhen
    Xu, Ling
    KODAI MATHEMATICAL JOURNAL, 2017, 40 (01) : 63 - 78
  • [34] Attractors for a nonclassical diffusion equation
    Xiao Y.-L.
    Acta Mathematicae Applicatae Sinica, 2002, 18 (2) : 273 - 276
  • [35] Pullback attractors for a class of non-autonomous nonclassical diffusion equations
    Cung The Anh
    Tang Quoc Bao
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 73 (02) : 399 - 412
  • [36] Attractors for the non-autonomous nonclassical diffusion equations with fading memory
    Wang, Xuan
    Zhong, Chengkui
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (11) : 5733 - 5746
  • [37] Exponential attractors for nonclassical diffusion equations with arbitrary polynomial growth nonlinearity
    Yuan, Jianbo
    Zhang, Shixuan
    Xie, Yongqin
    Zhang, Jiangwei
    AIMS MATHEMATICS, 2021, 6 (11): : 11778 - 11795
  • [38] Attractors for the nonclassical reaction–diffusion equations on time-dependent spaces
    Kaixuan Zhu
    Yongqin Xie
    Feng Zhou
    Boundary Value Problems, 2020
  • [39] Upper semicontinuity of attractors for nonclassical diffusion equations with arbitrary polynomial growth
    Yongqin Xie
    Jun Li
    Kaixuan Zhu
    Advances in Difference Equations, 2021
  • [40] UNIFORM ATTRACTORS FOR NON-AUTONOMOUS NONCLASSICAL DIFFUSION EQUATIONS ON RN
    Cung The Anh
    Nguyen Duong Toan
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2014, 51 (05) : 1299 - 1324
12345