Long-time behavior for a class of extensible beams with nonlocal weak damping and critical nonlinearity

被引：18

作者：

Zhao, Chunxiang ^{[1
]}

Ma, Shan ^{[2
]}

Zhong, Chengkui ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

[2] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2020年 / 61卷 / 03期

关键词：

EXPONENTIAL ATTRACTORS; GLOBAL ATTRACTOR; WAVE-EQUATIONS; DYNAMICS; EXISTENCE; STABILITY;

D O I：

10.1063/1.5128686

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This paper is devoted to establishing the long-time behavior of extensible beam equation with the nonlocal weak damping on a bounded smooth domain of Rn with hinged (clamped) boundary condition. It proves the well-posedness by means of the monotone operator theory and the existence of a global attractor when the growth exponent of the nonlinearity f(u) is up to the critical case in natural energy space. Published under license by AIP Publishing.

引用

页数：15

共 50 条

[21] Long-time tails, weak localization, and classical and quantum critical behavior
Kirkpatrick, TR
Belitz, D
Sengers, JV
[J]. JOURNAL OF STATISTICAL PHYSICS, 2002, 109 (3-4) : 373 - 405
[22] ATTRACTORS AND THEIR PROPERTIES FOR A CLASS OF NONLOCAL EXTENSIBLE BEAMS
Jorge da Silva, Marcio Antonio
Narciso, Vando
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (03) : 985 - 1008
[23] Long-time behavior nonlinear Landau damping
Manfredi, G
[J]. PHYSICAL REVIEW LETTERS, 1997, 79 (15) : 2815 - 2818
[24] Attractor for the Extensible Beam Equation with Nonlocal Weak Damping on Time-Dependent Space
Zhao, Chun Xiang
Meng, Feng Juan
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2024, 40 (04) : 1115 - 1126
[25] DYNAMICS OF THE NON-AUTONOMOUS WAVE EQUATIONS WITH NONLOCAL WEAK DAMPING AND CRITICAL NONLINEARITY
Zhou, Feng
Zhu, Kaixuan
Xie, Yongqin
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2025, 30 (01): : 1 - 25
[26] Long-Time Dynamics of the Wave Equation with Nonlocal Weak Damping and Super-Cubic Nonlinearity in 3-D Domains, Part II: Nonautonomous Case
Senlin Yan
Xiangming Zhu
Chengkui Zhong
Zhijun Tang
[J]. Applied Mathematics & Optimization, 2023, 88
[27] Long-Time Dynamics of the Wave Equation with Nonlocal Weak Damping and Super-Cubic Nonlinearity in 3-D Domains, Part II: Nonautonomous Case
Yan, Senlin
Zhu, Xiangming
Zhong, Chengkui
Tang, Zhijun
[J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2023, 88 (03):
[28] Regularity and long-time behavior of nonlocal heat flows
Snelson, Stanley
[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 2015, 54 (02) : 1705 - 1723
[29] Regularity and long-time behavior of nonlocal heat flows
Stanley Snelson
[J]. Calculus of Variations and Partial Differential Equations, 2015, 54 : 1705 - 1723
[30] Long-time behavior for a nonlocal convection diffusion equation
Ignat, Liviu I.
Ignat, Tatiana I.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 455 (01) : 816 - 831

← 1 2 3 4 5 →