Kirchhoff Approximation - Articles - Scientific Research Publishing

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 788 Downloads 1,927 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 983 Downloads 2,039 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 716 Downloads 1,629 Views Citations
The Inertial Manifold for a Class of Nonlinear Higher-Order Coupled Kirchhoff Equations with Strong Linear Damping (Articles)

Guoguang Lin, Lingjuan Hu

International Journal of Modern Nonlinear Theory and Application Vol.7 No.2, June 7, 2018

DOI: 10.4236/ijmnta.2018.72003 770 Downloads 1,681 Views Citations
Von Misses Pure Shear in Kirchhoff’s Plate Buckling (Articles)

Tonye Ngoji Johnarry, Francis Williams Ebitei

Open Journal of Civil Engineering Vol.10 No.2, April 26, 2020

DOI: 10.4236/ojce.2020.102010 612 Downloads 1,716 Views Citations
The Normalized Laplacians on Both Two Iterated Constructions Associated with Graph and Their Applications (Articles)

Chang Liu, Yingui Pan, Jianping Li, Li Dai

Journal of Applied Mathematics and Physics Vol.8 No.5, May 15, 2020

DOI: 10.4236/jamp.2020.85066 1,108 Downloads 2,252 Views Citations
Existence of Infinitely Many High Energy Solutions for a Fourth-Order Kirchhoff Type Elliptic Equation in R³ (Articles)

Ting Xiao, Canlin Gan, Qiongfen Zhang

Journal of Applied Mathematics and Physics Vol.8 No.8, August 20, 2020

DOI: 10.4236/jamp.2020.88120 798 Downloads 1,721 Views Citations
The Global Attractors and Dimensions Estimation for the Higher-Order Nonlinear Kirchhoff-Type Equation with Strong Damping (Articles)

Guoguang Lin, Yalan Yang

International Journal of Modern Nonlinear Theory and Application Vol.9 No.4, November 4, 2020

DOI: 10.4236/ijmnta.2020.94005 569 Downloads 1,521 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 493 Downloads 1,340 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 323 Downloads 1,345 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 324 Downloads 1,036 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 315 Downloads 1,115 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 284 Downloads 970 Views Citations
Analysis of the Behavior of a HV AC Line during an Atmospheric Discharge and Evaluation of the Spatio-Temporal Distribution of the Lightning Current Wave (Articles)

Anthony Bassesuka Sandoka Nzao

Open Journal of Applied Sciences Vol.12 No.2, February 18, 2022

DOI: 10.4236/ojapps.2022.122013 300 Downloads 1,245 Views Citations
A Family of Exponential Attractors and Inertial Manifolds for a Class of Higher Order Kirchhoff Equations (Articles)

Guoguang Lin, Yingguo Wang

Journal of Applied Mathematics and Physics Vol.10 No.3, March 25, 2022

DOI: 10.4236/jamp.2022.103062 227 Downloads 944 Views Citations
A Family of Global Attractors for a Class of Generalized Kirchhoff-Beam Equations (Articles)

Yuhuai Liao, Guoguang Lin, Jie Liu

Journal of Applied Mathematics and Physics Vol.10 No.3, March 30, 2022

DOI: 10.4236/jamp.2022.103064 212 Downloads 950 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 202 Downloads 779 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 131 Downloads 783 Views Citations
A Family of Inertial Manifolds of Coupled Kirchhoff Equations (Articles)

Guoguang Lin, Fumei Chen

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

DOI: 10.4236/jamp.2022.106141 259 Downloads 865 Views Citations
A Family of Inertial Manifolds for a Class of Generalized Kirchhoff-Beam Equations (Articles)

Yuhuai Liao, Guoguang Lin, Jie Liu

Journal of Applied Mathematics and Physics Vol.10 No.7, July 20, 2022

DOI: 10.4236/jamp.2022.107147 194 Downloads 705 Views Citations

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