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Long Time Behavior of a Class of Generalized Beam-Kirchhoff Equations

Long Time Behavior of a Class of Generalized Beam-Kirchhoff Equations
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摘要 In this paper, we study the long time behavior of a class of generalized Beam-Kirchhoff equation , and prove the existence and uniqueness of the global solution of this class of equation by Galerkin method by making some assumptions about the nonlinear function term . The existence of the family of global attractor and its Hausdorff dimension and Fractal dimension estimation are proved. In this paper, we study the long time behavior of a class of generalized Beam-Kirchhoff equation , and prove the existence and uniqueness of the global solution of this class of equation by Galerkin method by making some assumptions about the nonlinear function term . The existence of the family of global attractor and its Hausdorff dimension and Fractal dimension estimation are proved.
作者 Guoguang Lin Keshun Peng Guoguang Lin;Keshun Peng(Department of Mathematics, Yunnan University, Kunming, China)
出处 《Journal of Applied Mathematics and Physics》 2023年第10期2963-2981,共19页 应用数学与应用物理(英文)
关键词 Beam-Kirchhoff Equation Galerkin’s Method The Family of Global Attractor Dimension Estimation Beam-Kirchhoff Equation Galerkin’s Method The Family of Global Attractor Dimension Estimation
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