TIME-DEPENDENT ASYMPTOTIC BEHAVIOR OF THE SOLUTION FOR PLATE EQUATIONS WITH LINEAR MEMORY

被引：16

作者：

Liu, Tingting ^{[1
]}

Ma, Qiaozhen ^{[1
]}

机构：

[1] Northwest Normal Univ, Sch Math & Stat, Lanzhou 730070, Gansu, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2018年 / 23卷 / 10期

关键词：

Plate equation; linear memory; time-dependent attractor; regularity; compactness transitivity theorem; asymptotic structure; CRITICAL EXPONENT; UNBOUNDED DOMAIN; GLOBAL ATTRACTORS; EXTENSIBLE BEAM; WAVE-EQUATIONS; EXISTENCE; SPACE;

D O I：

10.3934/dcdsb.2018178

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we consider the long-time behavior of solutions for the plate equation with linear memory. Within the theory of process on time-dependent spaces, we investigate the existence of the time-dependent attractor by using the operator decomposition technique and compactness of translation theorem and more detailed estimates. Furthermore, the asymptotic structure of time-dependent attractor, which converges to the attractor of fourth order parabolic equation with memory, is proved. Besides, we obtain a further regular result.

引用

页码：4595 / 4616

页数：22

共 50 条

[21] Smoothing effect and asymptotic dynamics of nonautonomous parabolic equations with time-dependent linear operators
Belluzi, Maykel
Caraballo, Tomas
Nascimento, Marcelo J. D.
Schiabel, Karina
JOURNAL OF DIFFERENTIAL EQUATIONS, 2022, 314 : 808 - 849
[22] Asymptotic-Preserving Neural Networks for Multiscale Time-Dependent Linear Transport Equations
Shi Jin
Zheng Ma
Keke Wu
Journal of Scientific Computing, 2023, 94
[23] Asymptotic behavior of the time-dependent divergence exponent
Ricci, Leonardo
Perinelli, Alessio
Franchi, Matteo
PHYSICAL REVIEW E, 2020, 101 (04)
[24] Discontinuous Neural Networks for Finite-Time Solution of Time-Dependent Linear Equations
Di Marco, Mauro
Forti, Mauro
Nistri, Paolo
Pancioni, Luca
IEEE TRANSACTIONS ON CYBERNETICS, 2016, 46 (11) : 2509 - 2520
[25] Long-time behavior of nonclassical diffusion equations with memory on time-dependent spaces
Zhang, Jiangwei
Xie, Zhe
Xie, Yongqin
ASYMPTOTIC ANALYSIS, 2024, 137 (3-4) : 267 - 289
[26] Linear Scaling Solution of the Time-Dependent Self-Consistent-Field Equations
Challacombe, Matt
COMPUTATION, 2014, 2 (01): : 1 - 11
[27] Asymptotic behavior of solutions to nonlinear Schrödinger equations with time-dependent harmonic potentials
Masaki Kawamoto
Ryo Muramatsu
Journal of Evolution Equations, 2021, 21 : 699 - 723
[28] ASYMPTOTIC-BEHAVIOR IN MICHAELIS-MENTEN TYPE EQUATIONS WITH TIME-DEPENDENT INPUT
KOSTOVA, TV
DOKLADI NA BOLGARSKATA AKADEMIYA NA NAUKITE, 1985, 38 (10): : 1291 - 1294
[29] Asymptotic behavior for stochastic plate equations with memory in unbounded domains
Yao, Xiao Bin
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2022, : 1719 - 1750
[30] Asymptotic behavior of solutions to bipolar Euler-Poisson equations with time-dependent damping
Li, Haitong
Li, Jingyu
Mei, Ming
Zhang, Kaijun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 473 (02) : 1081 - 1121

← 1 2 3 4 5 →