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GLOBAL_ATTRACTOR: 作品数：134被引量：200H指数：8; 导出分析报告; 相关作者：向新民黄建华谌德周婷童筱青更多>>; 相关机构：上海师范大学国防科学技术大学华中师范大学云南大学更多>>; 相关期刊：《Journal of Mathematical Research with Applications》《Communications in Nonlinear Science and Numerical Simulation》《Science China Mathematics》《高等学校计算数学学报》更多>>; 相关基金：国家自然科学基金广东省自然科学基金中国博士后科学基金教育部留学回国人员科研启动基金更多>>

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

The Global Attractor and Its Dimension Estimation of Generalized Kolmogorov-Petrovlkii-Piskunov Equation: 《Journal of Applied Mathematics and Physics》2024年第4期1178-1187,共10页Yuhuai Liao; In this paper, the initial boundary value problem of a class of nonlinear generalized Kolmogorov-Petrovlkii-Piskunov equations is studied. The existence and uniqueness of the solution and the bounded absorption set ar...; 关键词：Generalized Kolmogorov-Petrovlkii-Piskunov Equation Existence of Solution Hausdorff Dimension Fractal Dimension

Long-Time Behavior of Solution for Autonomous Suspension Bridge Equations with State-Dependent Delay: 《Engineering（科研）》2023年第10期632-646,共15页Suping Wang Qiaozhen Ma Xukui Shao; This work is devoted to the following suspension bridge with state-dependent delay: . The main goal of this paper is to investigate the long-time behavior of the system. Under suitable hypothesis, the quasi-stability ...; 关键词：Suspension Bridge Equation State-Dependent Delay Global Attractor Exponential Attractor Quasi-Stability

Long Time Behavior of a Class of Generalized Beam-Kirchhoff Equations: 《Journal of Applied Mathematics and Physics》2023年第10期2963-2981,共19页Guoguang Lin Keshun Peng; 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 s...; 关键词：Beam-Kirchhoff Equation Galerkin’s Method The Family of Global Attractor Dimension Estimation

关于全局吸引子的一个新的存在性定理以及它对于非经典扩散方程的应用: 《Chinese Quarterly Journal of Mathematics》2023年第3期276-289,共14页QIN Yu-ming CHEN Jia-le JIANG Hui-te; Supported by the NNSF of China(Grant No.12171082);The fundamental research funds for the central universities(Grant Nos.2232022G-13 and 2232023G-13);by a grant from Science and Technology Commission of Shanghai Municipality。; In this paper,we first survey existed theorems and propose all 46 related open problems of the existence of global attractors for autonomous dynamical systems,then establish a new existence theorem of global attractor...; 关键词：Nonclassical diffusion equations Norm-to-weak continuity Global attractor

Existence of Global Attractor for a 3D Brinkman-Forchheimer Equation in Some Poincaré Unbounded Domains: 《Wuhan University Journal of Natural Sciences》2023年第4期282-290,共9页SONG Xueli XU Shuang QIAO Baoming; Supported by the National Natural Science Foundation of China (12001420)。; In this paper, we study the existence of global attractor of a class of three-dimensional Brinkman-Forchheimer equation in some unbounded domains which satisfies Poincaré inequality. We use the tail estimation method...; 关键词：Brinkman-Forchheimer equation global attractor asymptotic compactness tail estimation method

Global Dynamics of the Cahn-Hilliard/Allen-Cahn Equation: 《Journal of Mathematical Study》2023年第2期156-172,共17页Mingze Ma Xiaopeng Zhao; supported by the Fundamental Research Funds for the Central Universities(Grant No.N2005031).; In this paper,we consider the global dynamics of the Cahn-Hilliard/Allen-Cahn equation with periodic boundary value conditions in 2D bounded domainΩ.We show that the equation has a global attractor in H^(4)_(per)(Ω)...; 关键词：Global attractor Cahn-Hilliard/Allen-Cahn absorbing set

The Solutions and the Dynamic Behavior of the Rational Difference Equations: 《Journal of Applied Mathematics and Physics》2023年第2期525-540,共16页Nisreen A. Bukhary Elsayed M. Elsayed; The main purpose of this paper is to study the dynamic behavior of the rational difference equation of the fourth order Where α, β and γ are positive constants and the initial conditions y_-3, y_-2; 关键词：Difference Equation Local Stability Global Attractor BOUNDEDNESS PERIODIC

Dimension Estimate of the Global Attractor for a 3D Brinkman-Forchheimer Equation被引量：1: 《Wuhan University Journal of Natural Sciences》2023年第1期1-10,共10页SONG Xueli DENG Xi QIAO Baoming; Supported by the National Natural Science Foundation of China(12001420)。; In this paper,we study the dimension estimate of global attractor for a 3D Brinkman-Forchheimer equation.Based on the differentiability of the semigroup with respect to the initial data,we show that the global attract...; 关键词：Brinkman-Forchheimer equation global attractor Hausdorff dimension fractal dimension

The Long-Term Dynamic Behavior of Solutions to a Class of Generalized Higher-Order Kirchhoff-Type Coupled Wave Equations: 《Journal of Applied Mathematics and Physics》2022年第7期2181-2199,共19页Guoguang Lin Min Shao; In this paper, we study the long-term dynamic behavior of a class of generalized high-order Kirchhoff-type coupled wave equations. Firstly, the existence of uniqueness global solution of this kind of equations in E; 关键词：Kirchhoff Equation Existence and Uniqueness of Solutions Global Attractor Family Dimension Estimation

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