Existence of uniform exponential attractors of a hyperbolic equation with damping

被引：0

作者：

Galusinski, C ^{[1
]}

机构：

[1] Univ Bordeaux 1, Lab Math Appl Bordeaux, F-33400 Talence, France

来源：

COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE | 1998年 / 326卷 / 02期

关键词：

D O I：

10.1016/S0764-4442(97)89465-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we are interested in a hyperbolic equation parameterized by epsilon for which solutions approach, on (O, T), the ones of a quasi-linear parabolic equation. We show the existence of exponential attractors for the hyperbolic problem with a uniform bound of the fractal dimension for an adequate topology.

引用

页码：169 / 172

页数：4

共 50 条

[1] EXISTENCE OF EXPONENTIAL ATTRACTORS FOR THE PLATE EQUATIONS WITH STRONG DAMPING
Ma, Qiaozhen
Yang, Yun
Zhang, Xiaoliang
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
[2] Existence and continuity of uniform exponential attractors for a singular perturbation of a generalized Cahn-Hilliard equation
Bonfoh, A
[J]. ASYMPTOTIC ANALYSIS, 2005, 43 (03) : 233 - 247
[3] Existence of strong global attractors for hyperbolic equation with linear memory
Ma, QZ
Zhong, CK
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2004, 157 (03) : 745 - 758
[4] Uniform exponential attractors for a singularly perturbed damped wave equation
Fabrie, P
Galusinski, C
Miranville, A
Zelik, S
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2004, 10 (1-2) : 211 - 238
[5] Uniform attractors for a nonautonomous extensible plate equation with a strong damping
Feng, Baowei
Yang, Xin-Guang
Qin, Yuming
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (10) : 3479 - 3492
[6] Existence of the Uniform Attractors for the Nonautonomous Suspension Bridge Equations with Strong Damping
Qiao Zhen MA College of Mathematics and Information Science Northwest Normal University Gansu P R China
[J]. 数学研究与评论, 2010, 30 (02) : 277 - 285
[7] Existence of the Uniform Attractors for the Nonautonomous Suspension Bridge Equations with Strong Damping
Qiao Zhen MA College of Mathematics and Information Science
[J]. Journal of Mathematical Research with Applications, 2010, (02) : 277 - 285
[8] STRONG GLOBAL AND EXPONENTIAL ATTRACTORS FOR A NONLINEAR STRONGLY DAMPED HYPERBOLIC EQUATION
Sun, Y. U. E.
Yang, Z. H. I. J. I. A. N.
Qu, Y. A. N. X. I. A.
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2022, 42 (12) : 5613 - 5636
[9] Exponential Attractors for the Sup-Cubic Wave Equation with Nonlocal Damping
Zhou, Feng
Sun, Ziying
Zhu, Kaixuan
Mei, Xinyu
[J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2024, 47 (04)
[10] EXISTENCE OF ATTRACTORS FOR THE NON-AUTONOMOUS BERGER EQUATION WITH NONLINEAR DAMPING
Yang, Lu
Wang, Xuan
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,

← 1 2 3 4 5 →