Pullback attractors for the non-autonomous complex Ginzburg-Landau type equation with p-Laplacian

被引：0

作者：

Li, Fang ^{[1
]}

You, Bo ^{[2
]}

机构：

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

[2] Xi An Jiao Tong Univ, Sch Math & Stat, Xian 710049, Peoples R China

来源：

NONLINEAR ANALYSIS-MODELLING AND CONTROL | 2015年 / 20卷 / 02期

基金：

中国博士后科学基金; 美国国家科学基金会;

关键词：

pullback attractor; non-autonomous; p-laplacian; complex Ginzburg-Landau type equations; Sobolev compactness embedding theorem; asymptotic a priori estimates; REACTION-DIFFUSION EQUATIONS; MONOTONICITY METHOD; GLOBAL ATTRACTORS; COCYCLE ATTRACTORS; CAUCHY-PROBLEM; LOCAL SPACES; WEAK; DIMENSION;

D O I：

10.15388/NA.2015.2.6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the long-time behavior of the non-autonomous complex Ginzburg-Landau type equation with p-Laplacian. We first prove the existence of pullback absorbing sets in L-2 (Omega) boolean AND W-0(1,p) (Omega) boolean AND L-q (Omega) for the process {U (t, tau)}(t >=tau) corresponding to the non-autonomous complex Ginzburg-Landau type equation with p-Laplacian. Next, the existence of a pullback attractor in L-2 (Omega) is established by the Sobolev compactness embedding theorem. Finally, we prove the existence of a pullback attractor in W-0(1,p) (Omega) for the process {U (t, tau)}(t >=tau) by asymptotic a priori estimates.

引用

页码：233 / 248

页数：16

共 50 条

[1] PULLBACK ATTRACTORS FOR THE NON-AUTONOMOUS QUASI-LINEAR COMPLEX GINZBURG-LANDAU EQUATION WITH p-LAPLACIAN
You, Bo
Hou, Yanren
Li, Fang
Jiang, Jinping
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2014, 19 (06): : 1801 - 1814
[2] Non-autonomous Ginzburg-Landau equation and its attractors
Vishik, MI
Chepyzhov, VV
[J]. SBORNIK MATHEMATICS, 2005, 196 (5-6) : 791 - 815
[3] Pullback attractors of nonautonomous discrete p-Laplacian complex Ginzburg-Landau equations with fast-varying delays
Pu, Xiaoqin
Wang, Xuemin
Li, Dingshi
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
[4] Continuity Properties of Pullback and Pullback Exponential Attractors for Non-autonomous Plate with p-Laplacian
Aouadi, Moncef
[J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2024, 89 (01):
[5] WEAK PULLBACK MEAN RANDOM ATTRACTORS FOR NON-AUTONOMOUS p-LAPLACIAN EQUATIONS
Gu, Anhui
[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2021, 26 (07): : 3863 - 3878
[6] Pullback Attractor for Non-autonomous P-Laplacian Equation in Unbounded Domain
Chen, Guangxia
[J]. NONLINEAR MATHEMATICS FOR UNCERTAINTY AND ITS APPLICATIONS, 2011, 100 : 471 - 478
[7] Existence and upper semicontinuity of pullback attractors for non-autonomous p-Laplacian parabolic problems
Simsen, Jacson
Nascimento, Marcelo J. D.
Simsen, Mariza S.
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2014, 413 (02) : 685 - 699
[8] Global existence and smoothing effect for the complex Ginzburg-Landau equation with p-Laplacian
Okazawa, N
Yokota, T
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2002, 182 (02) : 541 - 576
[9] Regularity of random attractors for non-autonomous stochastic discrete complex Ginzburg-Landau equations
Yang, Yuan
Shu, Ji
Zhang, Jian
[J]. JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2020, 26 (05) : 587 - 608
[10] Uniform attractors for non-autonomous p-Laplacian equations
Chen, Guang-xia
Zhong, Cheng-Kui
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (11) : 3349 - 3363

← 1 2 3 4 5 →