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Inertial Manifolds for 2D Generalized MHD System
(Articles)
Zhaoqin Yuan
,
Liang Guo
,
Guoguang Lin
Int'l J. of Modern Nonlinear Theory and Application
Vol.4 No.3
,August 20, 2015
DOI:
10.4236/ijmnta.2015.43014
3,568
Downloads
4,182
Views
Citations
The Global Attractors and Their Hausdorff and Fractal Dimensions Estimation for the Higher-Order Nonlinear Kirchhoff-Type Equation with Strong Linear Damping
(Articles)
Yunlong Gao
,
Yuting Sun
,
Guoguang Lin
Int'l J. of Modern Nonlinear Theory and Application
Vol.5 No.4
,November 23, 2016
DOI:
10.4236/ijmnta.2016.54018
1,355
Downloads
2,229
Views
Citations
Approximate Inertial Manifold for a Class of the Kirchhoff Wave Equations with Nonlinear Strongly Damped Terms
(Articles)
Chengfei Ai
,
Huixian Zhu
,
Guoguang Lin
Int'l J. of Modern Nonlinear Theory and Application
Vol.5 No.4
,November 29, 2016
DOI:
10.4236/ijmnta.2016.54020
1,429
Downloads
2,162
Views
Citations
On Local Existence and Blow-Up of Solutions for Nonlinear Wave Equations of Higher-Order Kirchhoff Type with Strong Dissipation
(Articles)
Guoguang Lin
,
Yunlong Gao
,
Yuting Sun
Int'l J. of Modern Nonlinear Theory and Application
Vol.6 No.1
,February 13, 2017
DOI:
10.4236/ijmnta.2017.61002
1,428
Downloads
2,379
Views
Citations
Random Attractor of the Stochastic Strongly Damped for the Higher-Order Nonlinear Kirchhoff-Type Equation
(Articles)
Guoguang Lin
,
Ling Chen
,
Wei Wang
Int'l J. of Modern Nonlinear Theory and Application
Vol.6 No.2
,June 14, 2017
DOI:
10.4236/ijmnta.2017.62005
1,242
Downloads
1,936
Views
Citations
Hausdorff Dimension and Fractal Dimension of the Global Attractor for the Higher-Order Coupled Kirchhoff-Type Equations
(Articles)
Guoguang Lin
,
Sanmei Yang
Journal of Applied Mathematics and Physics
Vol.5 No.12
,December 29, 2017
DOI:
10.4236/jamp.2017.512197
640
Downloads
1,374
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
759
Downloads
1,314
Views
Citations
Estimate on the Dimension of Global Attractor for Nonlinear Higher-Order Coupled Kirchhoff Type Equations
(Articles)
Guoguang Lin
,
Lingjuan Hu
Advances in Pure Mathematics
Vol.8 No.1
,January 9, 2018
DOI:
10.4236/apm.2018.81002
772
Downloads
1,511
Views
Citations
The Inertial Manifolds for a Class of Higher-Order Coupled Kirchhoff-Type Equations
(Articles)
Guoguang Lin
,
Sanmei Yang
Journal of Applied Mathematics and Physics
Vol.6 No.5
,May 30, 2018
DOI:
10.4236/jamp.2018.65091
543
Downloads
1,138
Views
Citations
The Inertial Manifold for Class Kirchhoff-Type Equations with Strongly Damped Terms and Source Terms
(Articles)
Guoguang Lin
,
Xiangshuang Xia
Applied Mathematics
Vol.9 No.6
,June 29, 2018
DOI:
10.4236/am.2018.96050
736
Downloads
1,349
Views
Citations
The Exponential Attractor for a Class of Kirchhoff-Type Equations with Strongly Damped Terms and Source Terms
(Articles)
Guoguang Lin
,
Xiangshuang Xia
Journal of Applied Mathematics and Physics
Vol.6 No.7
,July 24, 2018
DOI:
10.4236/jamp.2018.67125
632
Downloads
1,197
Views
Citations
Random Attractor Family for the Kirchhoff Equation of Higher Order with White Noise
(Articles)
Guoguang Lin
,
Zhuoxi Li
Advances in Pure Mathematics
Vol.9 No.4
,April 29, 2019
DOI:
10.4236/apm.2019.94018
482
Downloads
1,045
Views
Citations
The Existence of Solutions of a Space-Uniform Boltzmann Equation
(Articles)
Zhihui Ye
,
Rulv Li
Journal of Applied Mathematics and Physics
Vol.8 No.2
,February 12, 2020
DOI:
10.4236/jamp.2020.82023
405
Downloads
945
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
274
Downloads
784
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
179
Downloads
901
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
187
Downloads
554
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
150
Downloads
559
Views
Citations
A Family of the Exponential Attractors and the Inertial Manifolds for a Class of Generalized Kirchhoff Equations
(Articles)
Guoguang Lin
,
Lujiao Yang
Journal of Applied Mathematics and Physics
Vol.9 No.10
,September 30, 2021
DOI:
10.4236/jamp.2021.910152
151
Downloads
645
Views
Citations
This article belongs to the Special Issue on
Nonlinear Differential Equations
A Family of the Random Attractors for a Class of Generalized Kirchhoff-Type Equations
(Articles)
Guoguang Lin
,
Lujiao Yang
Journal of Applied Mathematics and Physics
Vol.9 No.11
,November 26, 2021
DOI:
10.4236/jamp.2021.911190
140
Downloads
508
Views
Citations
The Family of Exponential Attractors and Random Attractors for a Class of Kirchhoff Equations
(Articles)
Guoguang Lin
,
Chunmeng Zhou
Journal of Applied Mathematics and Physics
Vol.9 No.12
,December 27, 2021
DOI:
10.4236/jamp.2021.912205
89
Downloads
439
Views
Citations
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