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国家自然科学基金(11031003)

作品数:12 被引量:11H指数:2
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>>
发文基金:国家自然科学基金山东省自然科学基金更多>>
相关领域:理学更多>>

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12 条 记 录,以下是 1-10
排序方式:
TRAVELING WAVES FOR A NONLOCAL DISPERSAL EPIDEMIC MODEL
2014年
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 traveling wave fronts for the speed being larger than the critical one. Furthermore, by the approximation method, the existence of traveling wave fronts for the critical speed is established as well. Finally, we discuss the nonexistence of traveling wave fronts for the speed being smaller than critical one by Laplace transform.
Feiying YangRunlong QiaoWantong Li
GLOBAL EXISTENCE AND EXPONENTIAL STABILITY OF SOLUTIONS TO THE QUASILINEAR THERMO-DIFFUSION EQUATIONS WITH SECOND SOUND被引量:2
2014年
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 multiplicative techniques and energy method provided that the initial data are close to the equilibrium and the relaxation kernel is strongly positive definite and decays exponentially.
秦玉明李海燕
Schauder边界条件的推广及多临界点定理
2011年
通过切锥及局部微分同胚的概念,引入了一种新的边界条件的刻画方式,并给出了相应的构造伪梯度向量场的方法.针对非线性项在零点与无穷大处增长性发生变化的p-Laplace方程,应用得到了几个多临界点存在的结果.
孙晓通钟承奎
关键词:不变集
Global Attractors for the One-dimensional Model of Thermodiffusion with Second Sound
2014年
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 semigroup and the existence of the global
ZHANG Ming
关键词:THERMODIFFUSION
Global Attractors for Nonclassical Diffusion Equations of Kirchhoff Type被引量:2
2012年
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 are proved. At last, the existence of global attractors and its upper semicontinuous property are discussed.
汪永海王灵芝
Intermittent Behaviors in Coupled Piecewise Expanding Map Lattices
2021年
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 orbit when the coupling is small.That is,lim inf n→∞∑1≤i,j≤m|x_(i)(n)−x_(j)(n)|=0,lim sup n→∞∑1≤i,j≤m|x_(i)(n)−x_(j)(n)|≥c_(0)>0,where xi(n)correspond to the coordinates of m nodes at the iterative step n.Moreover,when the uncoupled system is generated by the tent map and the lattice consists of two nodes,we prove a phase transition occurs between synchronization and intermittent behaviors.That is,limn→∞|x_(1)(n)−x_(2)(n)|=0 for c−1/2<1/4 and intermittent behaviors occur for|c−1/2|>1/4,where 0≤c≤1 is the coupling.
Tiexiang LiWen-Wei LinYiqian WangShing-Tung Yau
关键词:SYNCHRONIZATION
具有动力边界的非自治p-拉普拉斯方程解的适定性
2013年
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.
尤波
关键词:适定性
Generalized Fronts in Reaction-Diffusion Equations with Bistable Nonlinearity
2012年
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 and super-solution we then show that transition fronts are globally exponentially stable for the solutions of the Cauchy problem. Furthermore, we prove that transition fronts are unique up to translation in time by using the monotonicity in time and the exponential decay of such transition fronts.
Ya Qin SHUWan Tong LINai Wei LIU
关键词:UNIQUENESS
DECAY OF ENERGY FOR A DISSIPATIVE ANISOTROPIC ELASTIC SYSTEM
2011年
In this article, we study the large-time behavior of energy for a N-dimensional dissipative anisotropic elastic system. By means of multiplicative techniques, energy method, and Zuazua’s estimate technique, we prove the decay property of energy for anisotropic elastic system.
秦玉明刘欣邓书显
关键词:ANISOTROPIC
TRAJECTORY ATTRACTORS FOR NONCLASSICAL DIFFUSION EQUATIONS WITH FADING MEMORY被引量:4
2013年
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 Miranville [7, 8], in which the authors provide some new ideas in describing the trajectory attractors for evolution equations with memory.
汪永海王灵芝
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