Global Well-Posedness and Stability for a Viscoelastic Plate Equation with a Time Delay

被引：22
|
作者：
Feng, Baowei [1 ]
机构：
[1] Southwestern Univ Finance & Econ, Coll Econ Math, Chengdu 611130, Peoples R China
来源：
MATHEMATICAL PROBLEMS IN ENGINEERING | 2015年 / 2015卷
关键词：
EXPONENTIAL DECAY; EXTENSIBLE BEAM; WAVE-EQUATION; ASYMPTOTIC-BEHAVIOR; BOUNDARY; STABILIZATION; EXISTENCE; HEAT;
D O I：
10.1155/2015/585021
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A plate equation with a memory term and a time delay term in the internal feedback is investigated. Under suitable assumptions, we establish the global well-posedness of the initial and boundary value problem by using the Faedo-Galerkin approximations and some energy estimates. Moreover, by using energy perturbation method, we prove a general decay result of the energy provided that the weight of the delay is less than the weight of the damping.
引用
收藏
页数：10
相关论文
共 50 条
  • [21] Well-posedness and stability results for the Gardner equation
    Miguel A. Alejo
    Nonlinear Differential Equations and Applications NoDEA, 2012, 19 : 503 - 520
  • [22] Well-posedness and stability results for the Gardner equation
    Alejo, Miguel A.
    NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS, 2012, 19 (04): : 503 - 520
  • [23] Well-posedness and asymptotic stability of solutions to the semilinear wave equation with analytic nonlinearity and time varying delay
    Yassine, Hassan
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2021, 301 : 169 - 201
  • [24] A nonautonomous delayed viscoelastic wave equation with a linear damping: well-posedness and exponential stability
    Djemoui, Marwa
    Chellaoua, Houria
    Boukhatem, Yamna
    JOURNAL OF MATHEMATICAL MODELING, 2024, 12 (02): : 319 - 336
  • [25] GLOBAL WELL-POSEDNESS AND STABILITY OF ELECTROKINETIC FLOWS
    Bothe, Dieter
    Fischer, Andre
    Saal, Juergen
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2014, 46 (02) : 1263 - 1316
  • [26] GLOBAL WELL-POSEDNESS AND EXPONENTIAL STABILITY FOR THE FERMION EQUATION IN WEIGHTED SOBOLEV SPACES
    Sun, Baoyan
    Wu, Kung-Chien
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2022, 27 (05): : 2537 - 2562
  • [27] WELL-POSEDNESS AND STABILITY FOR SEMILINEAR WAVE-TYPE EQUATIONS WITH TIME DELAY
    Paolucci, Alessandro
    Pignotti, Cristina
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2022, 15 (06): : 1561 - 1571
  • [28] Well-posedness and exponential stability of a flexible structure with second sound and time delay
    Li, Gang
    Luan, Yue
    Yu, Jiangyong
    Jiang, Feida
    APPLICABLE ANALYSIS, 2019, 98 (16) : 2903 - 2915
  • [29] Well-posedness and exponential stability results for a nonlinear Kuramoto-Sivashinsky equation with a boundary time-delay
    Boumediène Chentouf
    Analysis and Mathematical Physics, 2021, 11
  • [30] Global Well-Posedness for Compressible Viscoelastic Fluids near Equilibrium
    Jianzhen Qian
    Zhifei Zhang
    Archive for Rational Mechanics and Analysis, 2010, 198 : 835 - 868
12345