Uniform attractor of non-autonomous wave equations with acoustic boundary condition

被引:0
|
作者
Bortot, Cesar Augusto [1 ]
Souza, Thales Maier [1 ]
机构
[1] Univ Fed Santa Catarina, Dept Mobil Engn, BR-89219600 Joinville, SC, Brazil
关键词
PULLBACK ATTRACTORS; DYNAMICS;
D O I
10.1063/5.0202589
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This paper is concerned with the study of wave equations with acoustic boundary conditions subject to a non-autonomous external force and nonlinearity type |u|(3). We employ the contractive function and the uniform dissipativity of the system to establish the uniform asymptotic compactness and existence of a uniform attractor.
引用
收藏
页数:16
相关论文
共 50 条
  • [1] PULLBACK DYNAMICS OF NON-AUTONOMOUS WAVE EQUATIONS WITH ACOUSTIC BOUNDARY CONDITION
    Ma, To Fu
    Souza, Thales Maier
    DIFFERENTIAL AND INTEGRAL EQUATIONS, 2017, 30 (5-6) : 443 - 462
  • [2] On non-autonomous strongly damped wave equations with a uniform attractor and some averaging
    Li Hongyan
    Zhou Shengfan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 341 (02) : 791 - 802
  • [3] On pullback attractor for non-autonomous weakly dissipative wave equations
    Yan, Xingjie
    Zhong, Chengkui
    DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL, 2009, 24 (01): : 97 - 108
  • [4] Asymptotic Regularity and Uniform Attractor for Non-autonomous Viscoelastic Equations with Memory
    Zeng, Ye
    Li, Yanan
    Xie, Yongqin
    Luo, Shuangli
    PROCEEDINGS OF THE 2017 INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, MODELLING AND STATISTICS APPLICATION (AMMSA 2017), 2017, 141 : 309 - 318
  • [5] Uniform attractor for non-autonomous suspension bridge equations with localized damping
    Park, Jong Yeoul
    Kang, Jum Ran
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2011, 34 (04) : 487 - 496
  • [6] Non-autonomous wave dynamics with memory - Asymptotic regularity and uniform attractor
    Sun, Chunyou
    Cao, Daomin
    Duan, Jinqiao
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2008, 9 (3-4): : 743 - 761
  • [7] Boundary variation for non-autonomous parabolic equations with Neumann boundary condition
    Ngiamsunthorn, Parinya Sa
    INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES AND STATISTICS 2013 (ICMSS2013), 2013, 1557 : 3 - 7
  • [8] Uniform attractors of non-autonomous dissipative semilinear wave equations
    LI Kaitai and ZHAO Chunshan(School of Science
    . Department of Mathematics
    Progress in Natural Science, 2003, (02) : 22 - 30
  • [9] Uniform attractors of non-autonomous dissipative semilinear wave equations
    Li, KT
    Zhao, CS
    PROGRESS IN NATURAL SCIENCE, 2003, 13 (02) : 100 - 108
  • [10] UNIFORM ATTRACTOR OF THE NON-AUTONOMOUS DISCRETE SELKOV MODEL
    Jia, Xiaolin
    Zhao, Caidi
    Cao, Juan
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2014, 34 (01) : 229 - 248