GLOBAL_ATTRACTORS

作品数：45被引量：83H指数：5
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The Global Attractors and Dimensions Estimation for the Higher-Order Nonlinear Kirchhoff-Type Equation with Strong Damping
《International Journal of Modern Nonlinear Theory and Application》2020年第4期63-80,共18页Guoguang Lin Yalan Yang 
The initial boundary value problems for a class of high order Kirchhoff type equations with nonlinear strongly damped terms are considered. We establish the existence and uniqueness of the global solution of the probl...
关键词：Nonlinear Higher-Order Kirchhoff Type Equation The Priori Estimates The Galerkin’s Method The Global Attractors Dimension Estimation 
The Global Attractors for the Higher-Order Kirchhoff-Type Equation with Nonlinear Strongly Damped Term被引量：7
《International Journal of Modern Nonlinear Theory and Application》2016年第4期203-217,共16页Yuting Sun Yunlong Gao Guoguang Lin 
We investigate the global well-posedness and the global attractors of the solutions for the Higher-order Kirchhoff-type wave equation with nonlinear strongly damping: . For strong nonlinear damping σ and ?, we make a...
关键词：Strongly Nonlinear Damped Higher-Order Kirchhoff Equation The Existence and Uniqueness The Global Attractors 
The Global Attractors and Their Hausdorff and Fractal Dimensions Estimation for the Higher-Order Nonlinear Kirchhoff-Type Equation with Strong Linear Damping被引量：11
《International Journal of Modern Nonlinear Theory and Application》2016年第4期185-202,共18页Yunlong Gao Yuting Sun Guoguang Lin 
In this paper, we study the longtime behavior of solution to the initial boundary value problem for a class of strongly damped Higher-order Kirchhoff type equations: . At first, we prove the existence and uniqueness o...
关键词：Nonlinear Higher-Order Kirchhoff Type Equation The Existence and Uniqueness The Global Attractors Hausdorff Dimensions Fractal Dimensions 
Global Attractors for a Class of Generalized Nonlinear Kirchhoff-Sine-Gordon Equation被引量：1
《International Journal of Modern Nonlinear Theory and Application》2016年第1期73-81,共9页Ruijin Lou Penghui Lv Guoguang Lin 
In this paper, we consider a class of generalized nonlinear Kirchhoff-Sine-Gordon equation . By a priori estimation, we first prove the existence and uniqueness of solutions to the initial boundary value conditions, a...
关键词：Kirchhoff-Sine-Gordon Equation The Existence and Uniqueness of Solutions Priori Estimates Global Attractors 
The Global Attractors for a Nonlinear Viscoelastic Wave Equation with Strong Damping and Linear Damping and Source Terms
《International Journal of Modern Nonlinear Theory and Application》2015年第2期142-152,共11页Liang Guo Zhaoqin Yuan Guoguang Lin 
In this paper, firstly, some priori estimates are obtained for the existence and uniqueness of solutions of a nonlinear viscoelastic wave equation with strong damping, linear damping and source terms. Then we study th...
关键词：Global ATTRACTORS VISCOELASTIC Equation Priori ESTIMATES 
The Global Attractors of the Solution for 2D Maxwell-Navier-Stokes with Extra Force Equations
《International Journal of Modern Nonlinear Theory and Application》2014年第5期221-229,共9页Cuicui Tian Meixia Wang Guoguang Lin 
In this paper, we studied the solution existence and uniqueness and the attractors of the 2D Maxwell-Navier-Stokes with extra force equations.
关键词：Maxwell-Navier-Stokes EQUATIONS Existence UNIQUENESS ATTRACTOR 
Notes on the Global Attractors for Semigroup
《International Journal of Modern Nonlinear Theory and Application》2013年第4期219-222,共4页Lan Xu Yuhua Shi 
First we introduce two necessary and sufficient conditions which ensure the existence of the global attractors for semigroup. Then we recall the concept of measure of noncompactness of a set and recapitulate its basic...
关键词：Natural Global ATTRACTORS Measure of Noncompactness ASYMPTOTIC COMPACTNESS w-Limit Compact 
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