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国家自然科学基金(11031003): 作品数：12被引量：11H指数：2; 导出分析报告; 相关作者：尤波孙晓通马闪钟承奎李洪涛更多>>; 相关机构：兰州大学兰州交通大学更多>>; 相关期刊：《兰州大学学报（自然科学版）》《Journal of Donghua University(English Edition)》《Analysis in Theory and Applications》《Acta Mathematica Sinica,English Series》更多>>; 相关主题：DIFFUSION_EQUATIONSGLOBAL_ATTRACTORNONCLASSICALGLOBAL_ATTRACTORSMEMORY更多>>; 相关领域：理学更多>>

Intermittent Behaviors in Coupled Piecewise Expanding Map Lattices: 《Analysis in Theory and Applications》2021年第4期481-519,共39页Tiexiang Li Wen-Wei Lin Yiqian Wang Shing-Tung Yau; This work is supported by NSFC of China(Grants Nos.11031003,11271183,11971105 and 11771205)and Simons Foundation.; In this paper,we propose a new method to study intermittent behaviors of coupled piecewise-expanding map lattices.We show that the successive transition between ordered and disordered phases occurs for almost every or...; 关键词：SYNCHRONIZATION pseudo synchronization phase transition Coupled map Lattices piecewise expanding map

Global Attractors for the One-dimensional Model of Thermodiffusion with Second Sound: 《Chinese Quarterly Journal of Mathematics》2014年第3期457-464,共8页ZHANG Ming; Supported by the NNSF of China(11031003,11271066);Supported by the Shanghai Education Commission(13ZZ048); In this paper we investigate the global attractors for the one-dimensional linear model of thermodiffusion with second sound. Using the method of contractive functions, we obtain the asymptotically compact of the semi...; 关键词：THERMODIFFUSION second sound global attractors asymptotically compact

TRAVELING WAVES FOR A NONLOCAL DISPERSAL EPIDEMIC MODEL: 《Annals of Differential Equations》2014年第2期222-235,共14页Feiying Yang Runlong Qiao Wantong Li; Supported by NNSF of China(11031003,11271172); This paper is concerned with traveling wave solutions to a nonlocal dispersal epide- mic model. Combining the upper and lower solutions and monotone iteration method, we establish the existence of nondecreasing travel...; 关键词：traveling waves nonlocal dispersal Laplace transform

GLOBAL EXISTENCE AND EXPONENTIAL STABILITY OF SOLUTIONS TO THE QUASILINEAR THERMO-DIFFUSION EQUATIONS WITH SECOND SOUND被引量：2: 《Acta Mathematica Scientia》2014年第3期759-778,共20页秦玉明李海燕; Sponsored by the NNSF of China(11031003,11271066,11326158);a grant of Shanghai Education Commission(13ZZ048);Chinese Universities Scientific Fund(CUSF-DH-D-2013068); This article is devoted to the study of global existence and exponential stability of solutions to an initial-boundary value problem of the quasilinear thermo-diffusion equations with second sound by means of multipli...; 关键词：Thermo-diffusion equations global existence exponential stability second sound multiplicative techniques

TRAJECTORY ATTRACTORS FOR NONCLASSICAL DIFFUSION EQUATIONS WITH FADING MEMORY被引量：4: 《Acta Mathematica Scientia》2013年第3期721-737,共17页汪永海王灵芝; supported by NSFC Grant (11031003);the Fundamental Research Funds for the Central Universities;support by Fund of excellent young teachers in Shanghai (shgcjs008);Initial Fund of SUES (A-0501-11-016); In this article, we consider the existence of trajectory and global attractors for nonclassical diffusion equations with linear fading memory. For this purpose, we will apply the method presented by Chepyzhov and Mira...; 关键词：Trajectory attractor global attractor memory kernel

具有动力边界的非自治p-拉普拉斯方程解的适定性: 《兰州大学学报（自然科学版）》2013年第1期111-115,共5页尤波; 国家自然科学基金项目(11031003); 研究了在n维有界光滑区域上,具有动力边界的非自治p-拉普拉斯方程解的适定性.; 关键词：非自治p-拉普拉斯方程适定性动力边界条件

一类退化抛物方程全局吸引子的正则性: 《兰州大学学报（自然科学版）》2012年第4期108-114,共7页李洪涛马闪; 国家自然科学基金项目(11031003); 考虑了一类退化抛物方程全局吸引子的正则性.当非线性项任意阶增长时,通过渐近先验估计方法和投影方法分别得到了这类方程在L^2(Ω),L^p(Ω),L^(2p-2)(Ω)(p≥2)及H_0^(1,a)(Ω)中全局吸引子的存在性.; 关键词：退化抛物方程全局吸引子渐近先验估计正则性

Global Attractors for Nonclassical Diffusion Equations of Kirchhoff Type被引量：2: 《Journal of Donghua University(English Edition)》2012年第4期305-310,共6页汪永海王灵芝; National Natural Science Foundation of China ( No. 11031003) ;Fund of Excellent Young Teachers in Shanghai,China( No.shgcjs008) ;Initial Fund of Shanghai University of Engineering Science,China( No. A-0501-11-016); In this article, the well-posedness and long-time behavior of a nonclassical diffusion equation of Kirchhoff type are considered. Using the method of Galerkin approximation, the existence and uniqueness of solutions a...; 关键词：global attractor nonclassical diffusion upper semicontinuity

Generalized Fronts in Reaction-Diffusion Equations with Bistable Nonlinearity: 《Acta Mathematica Sinica,English Series》2012年第8期1633-1646,共14页Ya Qin SHU Wan Tong LI Nai Wei LIU; Supported by NSF of China(Grant No.11031003);NSF of Shandong Province of China(Grant No.ZR2010AQ006); In this paper, we first study the existence of transition fronts （generalized traveling fronts） for reaction-diffusion equations with the spatially heterogeneous bistable nonlinearity. By constructing sub-solution a...; 关键词：Reaction-diffusion equation transition fronts UNIQUENESS bistable nonlinearity stability

PULLBACK ATTRACTORS FOR THE NON-AUTONOMOUS BENJAMIN-BONA-MAHONY EQUATIONS IN H^2被引量：4: 《Acta Mathematica Scientia》2012年第4期1338-1348,共11页秦玉明杨新光刘欣; supported by the NSF of China(11031003, 10871040); In this paper, we prove the existence of the pullback attractor for the nonautonomous Benjamin-Bona-Mahony equations in H2 by establishing the pullback uniformly asymptotical compactness.; 关键词：Benjamin-Bona-Mahony equations PROCESSES pullback attractor

国家自然科学基金(11031003)