GLOBAL_ATTRACTORS

作品数：45被引量：83H指数：5
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相关机构：西北师范大学更多>>
相关期刊：《Progress in Natural Science:Materials International》《Applied Mathematics》《Science China(Physics,Mechanics & Astronomy)》《Communications on Applied Mathematics and Computation》更多>>
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A Family of Global Attractors for the Generalized Kirchhoff-Beam Equations
《Journal of Applied Mathematics and Physics》2023年第7期1945-1963,共19页Guoguang Lin Boshi Chen 
In this paper, we discuss the existence and uniqueness of global solutions, the existence of the family of global attractors and its dimension estimation for generalized Beam-Kirchhoff equation under initial condition...
关键词：Beam-Kirchhoff Equation Galerkin’s Method Family of Global Attractors Housdorff Dimension Fractal Dimension 
The Family of Global Attractors for Kirchhoff-Type Coupled Equations
《Journal of Applied Mathematics and Physics》2022年第6期2040-2060,共21页Guoguang Lin Jiaying Zhou 
This paper mainly studies the initial value problems of Kirchhoff-type coupled equations. Firstly, by giving the hypothesis of Kirchhoff stress term , the Galerkin’s method obtains the existence uniqueness of the ove...
关键词：Kirchhoff Equation the Existence and Uniqueness of Global Solution the Family of Global Attractors Hausdorff Dimension and Fractal Dimension of Global Attractor 
The Family of Global Attractors of Coupled Kirchhoff Equations
《Journal of Applied Mathematics and Physics》2022年第5期1651-1677,共27页Guoguang Lin Fumei Chen 
In this paper, we study the initial boundary value problem of coupled generalized Kirchhoff equations. Firstly, the rigid term and nonlinear term of Kirchhoff equation are assumed appropriately to obtain the prior est...
关键词：Kirchhoff Equation Prior Estimation Existence and Uniqueness of Solutions The Family of Global Attractors Dimension Estimation 
A Family of Global Attractors for a Class of Generalized Kirchhoff-Beam Equations被引量：3
《Journal of Applied Mathematics and Physics》2022年第3期930-951,共22页Yuhuai Liao Guoguang Lin Jie Liu 
The initial boundary value problem for a class of high-order Beam equations with quasilinear and strongly damped terms is studied. Firstly, the existence and uniqueness of the global solution of the equation are prove...
关键词：High-Order Kirchhoff-Beam Equation Galerkin’s Method Family of Global Attractors The Hausdorff Dimension 
Regularity of Global Attractors for the Kirchhoff Wave Equation
《Journal of Applied Mathematics and Physics》2019年第10期2481-2491,共11页Xiaoyi Liu Ping Gao 
In this paper, we mainly use operator decomposition technique to prove the global attractors which in ?for the Kirchhoff wave equation with strong damping and critical nonlinearities, are also bounded in .
关键词：The KIRCHHOFF Wave Equation Critical EXPONENT The REGULARITY of Global ATTRACTOR 
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