KDV Equation; Strongly Damped; Existence; Global Attractor; Dimension Estimation - Articles

Global Attractor of Two-Dimensional Strong Damping KDV Equation and Its Dimension Estimation (Articles)

Cheng Zhang, Guoguang Lin

Applied Mathematics Vol.5 No.1，December 26, 2013

DOI: 10.4236/am.2014.51002 5,088 Downloads 7,251 Views Citations
Global Attractor and Dimension Estimation for a 2D Generalized Anisotropy Kuramoto-Sivashinsky Equation (Articles)

Meixia Wang, Cuicui Tian, Guoguang Lin

Int'l J. of Modern Nonlinear Theory and Application Vol.3 No.4，September 24, 2014

DOI: 10.4236/ijmnta.2014.34018 2,616 Downloads 3,633 Views Citations
The Long-Term Dynamic Behavior of Solutions to a Class of Generalized Higher-Order Kirchhoff-Type Coupled Wave Equations (Articles)

Guoguang Lin, Min Shao

Journal of Applied Mathematics and Physics Vol.10 No.7，July 21, 2022

DOI: 10.4236/jamp.2022.107150 116 Downloads 484 Views Citations
Global Attractor for a Class of Nonlinear Generalized Kirchhoff-Boussinesq Model (Articles)

Penghui Lv, Ruijin Lou, Guoguang Lin

Int'l J. of Modern Nonlinear Theory and Application Vol.5 No.1，March 17, 2016

DOI: 10.4236/ijmnta.2016.51009 2,698 Downloads 3,649 Views Citations
Global Attractors and Dimension Estimation of the 2D Generalized MHD System with Extra Force (Articles)

Zhaoqin Yuan, Liang Guo, Guoguang Lin

Applied Mathematics Vol.6 No.4，April 29, 2015

DOI: 10.4236/am.2015.64068 2,971 Downloads 3,753 Views Citations
The Global and Pullback Attractors for a Strongly Damped Wave Equation with Delays* (Articles)

Guoguang Lin, Fangfang Xia, Guigui Xu

Int'l J. of Modern Nonlinear Theory and Application Vol.2 No.4，November 29, 2013

DOI: 10.4236/ijmnta.2013.24029 3,827 Downloads 6,953 Views Citations
Global Attractors and Their Dimension Estimates for a Class of Generalized Kirchhoff Equations (Articles)

Guoguang Lin, Lujiao Yang

Advances in Pure Mathematics Vol.11 No.4，April 25, 2021

DOI: 10.4236/apm.2021.114020 370 Downloads 954 Views Citations
The Dynamic Behavior of a Class of Kirchhoff Equations with High Order Strong Damping (Articles)

Guoguang Lin, Chunmeng Zhou

Journal of Applied Mathematics and Physics Vol.9 No.5，May 26, 2021

DOI: 10.4236/jamp.2021.95071 234 Downloads 1,057 Views Citations
The Family of Global Attractors for Kirchhoff-Type Coupled Equations (Articles)

Guoguang Lin, Jiaying Zhou

Journal of Applied Mathematics and Physics Vol.10 No.6，June 30, 2022

DOI: 10.4236/jamp.2022.106139 101 Downloads 539 Views Citations
Uniform Exponential Attractors for Non-Autonomous Strongly Damped Wave Equations (Articles)

Hongyan Li

Journal of Applied Mathematics and Physics Vol.2 No.8，July 4, 2014

DOI: 10.4236/jamp.2014.28086 3,006 Downloads 4,428 Views Citations
The Family of Global Attractors for a Generalized Kirchhoff Equations (Articles)

Guoguang Lin, Xiaomei Liu

Open Journal of Applied Sciences Vol.11 No.7，July 20, 2021

DOI: 10.4236/ojapps.2021.117058 213 Downloads 697 Views Citations
The Global Attractors for the Higher-Order Kirchhoff-Type Equation with Nonlinear Strongly Damped Term (Articles)

Yuting Sun, Yunlong Gao, Guoguang Lin

Int'l J. of Modern Nonlinear Theory and Application Vol.5 No.4，November 28, 2016

DOI: 10.4236/ijmnta.2016.54019 1,589 Downloads 2,482 Views Citations
Asymptotic Behavior of Stochastic Strongly Wave Equation on Unbounded Domains (Articles)

Zhaojuan Wang, Shengfan Zhou

Journal of Applied Mathematics and Physics Vol.3 No.3，March 30, 2015

DOI: 10.4236/jamp.2015.33046 2,550 Downloads 3,626 Views Citations
Asymptotic Behavior of Stochastic Strongly Damped Wave Equation with Multiplicative Noise (Articles)

Zhaojuan Wang, Shengfan Zhou

Int'l J. of Modern Nonlinear Theory and Application Vol.4 No.3，September 15, 2015

DOI: 10.4236/ijmnta.2015.43015 3,829 Downloads 4,798 Views Citations
The Family of Global Attractors of Coupled Kirchhoff Equations (Articles)

Guoguang Lin, Fumei Chen

Journal of Applied Mathematics and Physics Vol.10 No.5，May 26, 2022

DOI: 10.4236/jamp.2022.105115 141 Downloads 506 Views Citations
Long Time Behavior of a Class of Generalized Beam-Kirchhoff Equations (Articles)

Guoguang Lin, Keshun Peng

Journal of Applied Mathematics and Physics Vol.11 No.10，October 25, 2023

DOI: 10.4236/jamp.2023.1110196 109 Downloads 329 Views Citations
A Family of the Global Attractor for Higher Order Nonlinear Kirchhoff Equation (Articles)

Guoguang Lin, Yingguo Wang

Open Journal of Applied Sciences Vol.11 No.6，June 30, 2021

DOI: 10.4236/ojapps.2021.116055 256 Downloads 746 Views Citations
A Modified Transitional Korteweg-De Vries Equation: Posed in the Quarter Plane (Articles)

Charles Bu

Journal of Applied Mathematics and Physics Vol.12 No.7，July 31, 2024

DOI: 10.4236/jamp.2024.127160 81 Downloads 282 Views Citations
An Initial-Boundary Value Problem for a Modified Transitional Korteweg-de Vries Equation (Articles)

Charles Bu

Journal of Applied Mathematics and Physics Vol.13 No.1，January 15, 2025

DOI: 10.4236/jamp.2025.131005 40 Downloads 182 Views Citations
The Estimates of the Upper Bounds of Hausdorff Dimensions for the Global Attractor for a Class of Nonlinear Coupled Kirchhoff-Type Equations (Articles)

Guoguang Lin, Ming Zhang

Advances in Pure Mathematics Vol.8 No.1，January 9, 2018

DOI: 10.4236/apm.2018.81001 840 Downloads 1,486 Views Citations

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