云南高校图书馆联盟文献共享服务平台- GLOBAL

GLOBAL_ATTRACTORS: 作品数：45被引量：83H指数：5; 导出分析报告; 相关作者：马巧珍更多>>; 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>>; 相关基金：国家自然科学基金国家重点基础研究发展计划教育部留学回国人员科研启动基金安徽省自然科学基金更多>>

Time-dependent Global Attractors for the Nonclassical Diffusion Equations with Fading Memory: 《Acta Mathematicae Applicatae Sinica》2025年第2期498-512,共15页Yu-ming QIN Xiao-ling CHEN; supported by the National Natural Science Foundation of China(No.12171082);the Fundamental Research Funds for the Central Universities(No.2232023G-13).; In this paper,we discuss the long-time behavior of solutions to the nonclassical diffusion equation with fading memory when the nonlinear term f satisfies critical exponential growth and the external force g(x)∈L^(2)...; 关键词：time-dependent global attractors nonclassical diffusion equation fading memory time-dependent spaces long-time behavior

Existence of Global Attractor for Weakly Damped FDS Nonlinear Wave Equations: 《Annals of Applied Mathematics》2024年第4期333-345,共13页Boling Guo Ying Zhang; The paper investigates the well-posedness of global solutions and the existence of global attractors for weakly damped FDS nonlinear wave equations.It establishes the well-posedness of weak solutions using Galerkin ap...; 关键词：Global attractors a priori estimate FDS nonlinear wave equations

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 由于版权政策及相关保密法规原因，条结果未予显示。

GLOBAL_ATTRACTORS