GLOBAL_ATTRACTORS

作品数：43被引量：82H指数：5
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相关机构：西北师范大学更多>>
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One-dimensional monotone nonautonomous dynamical systems
《Science China Mathematics》2024年第2期281-314,共34页David Cheban 
supported by the State Program of the Republic of Moldova “Multivalued Dynamical Systems, Singular Perturbations, Integral Operators and Non-Associative Algebraic Structures (Grant No. 20.80009.5007.25)”
This work is devoted to the study of the dynamics of one-dimensional monotone nonautonomous(cocycle) dynamical systems. A description of the structures of their invariant sets, omega limit sets,Bohr/Levitan almost per...
关键词：one-dimensional dynamics pinched and minimal sets global attractors monotone nonautonomous cocycle almost periodic solutions scalar differential/difference equations 
Two-Dimensional Riemann Problems:Transonic Shock Waves and Free Boundary Problems
《Communications on Applied Mathematics and Computation》2023年第3期1015-1052,共38页Gui-Qiang G.Chen 
The research of Gui-Qiang G.Chen was supported in part by the UK Engineering and Physical Sciences Research Council Awards EP/L015811/1,EP/V008854/1,EP/V051121/1;the Royal Society-Wolfson Research Merit Award WM090014.
We are concerned with global solutions of multidimensional(M-D)Riemann problems for nonlinear hyperbolic systems of conservation laws,focusing on their global configurations and structures.We present some recent devel...
关键词：Riemann problems Two-dimensional(2-D) Transonic shocks Solution structure Free boundary problems Mixed elliptic-hyperbolic type Global configurations Large-time asymptotics Global attractors Multidimensional(M-D) Shock capturing methods 
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 
On a Coupled Cahn–Hilliard System for Copolymer/Homopolymer Mixtures
《Journal of Mathematical Study》2022年第1期22-37,共16页Laurence Cherfils Alain Miranville 
Our aim in this paper is to study a coupled Cahn–Hilliard system for copolymer/homopolymer mixtures.We prove the existence,uniqueness and regularity of solutions.We then prove the existence of finite dimensional glob...
关键词：Coupled Cahn–Hilliard system WELL-POSEDNESS finite dimensional global attractors 
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 
Global Attractors and Their Dimension Estimates for a Class of Generalized Kirchhoff Equations被引量：3
《Advances in Pure Mathematics》2021年第4期317-333,共17页Guoguang Lin Lujiao Yang 
In this paper, we studied the long-time properties of solutions of generalized Kirchhoff-type equation with strongly damped terms. Firstly, appropriate assumptions are made for the nonlinear source term
《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 Navier-stokes Equations with Nonlinear Perturbation in R^2被引量：1
《Chinese Quarterly Journal of Mathematics》2020年第1期93-110,共18页ZHENG Zhi-bo ZHANG Li-ping HAO Xiao-hong LIU Guo-qi SUN Jiang-jie 
Project supported by the Baoshan College focuses on cultivating disciplines of China(Conservative government[2016]No.91);The work was supported in part by the Joint Special Foundation on basic research in Local Colleges and Universities for the Department of Science and Technology of Yunnan Province of China under Grant No.2017FH001-106;the Natural Science Foundation of Anhui Province of China(1908085MG233);Quality Engineering for Research Projects of the Anhui Department of Education about Wisdom Classroom(2018zhktl80);Natural Science Foundation for the Higher Education Institutions of Anhui Province of China(KJ2019A0945).The authors would like to thank all the individuals in China who offered their time and energy to participate in the investigates。
This paper is concerned with the Navier-stokes equations with nonlinear perturbation in R^2,which studies the existence of solution,and gets the existence of the attractors.Finally,we discuss with limit-behavior of th...
关键词：The NAVIER-STOKES equations with nonlinear perturbation solution MAXIMAL ATTRACTOR limit-behavior 
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