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国家自然科学基金(10471108): 作品数：12被引量：26H指数：3; 导出分析报告; 相关作者：刘伟安刘克英李燕黄启华李俊锋更多>>; 相关机构：武汉大学华北水利水电学院中国石油大学（华东）咸宁学院更多>>; 相关期刊：《Journal of Partial Differential Equations》《Wuhan University Journal of Natural Sciences》《数学杂志》《Acta Mathematica Scientia》更多>>; 相关主题：CHEMOTAXISEIGENVALUESEIGENVALUEBLOW-UPQUENCHING更多>>; 相关领域：理学自动化与计算机技术化学工程生物学更多>>

GRADIENT ESTIMATES FOR POSITIVE SMOOTH f-HARMONIC FUNCTIONS被引量：3: 《Acta Mathematica Scientia》2010年第5期1614-1618,共5页陈立陈文艺; supported by NSFC (10471108,10631020); For Riemannian manifolds with a measure, we study the gradient estimates for positive smooth f-harmonic functions when the ∞-Bakry-Emery Ricci tensor and Ricci tensor are bounded from below, generalizing the classica...; 关键词：gradient estimate f-harmonic function Bakry-Emery Ricci tensor

Behavior of the Solutions to an Othmer-Stevens Chemotaxis Model with Reproduction Term被引量：1: 《Wuhan University Journal of Natural Sciences》2010年第4期277-282,共6页CHEN Xueyong, LIU Weian School of Mathematics and Statistics, Wuhan University, Wuhan 430072, Hubei, China; Supported by the National Natural Science Foundation of China(10471108); In this paper,we study a simplified Othmer-Stevens model with reproduction term. By making use of a smart function transformation,the comparative method and some special mathe-matical analysis,we prove the existence o...; 关键词：CHEMOTAXIS global existence BLOW-UP quenching solution

一类带有反应项的趋化性方程组解的存在唯一性(英文): 《数学杂志》2010年第4期595-602,共8页张建华杨茵; Supported by the National Natural Science Foundations of China(10471108); 本文研究了主方程中带有反应项的Keller-Segel趋化性模型.利用截断函数、半群算子和不动点定理,获得了范数估计以及模型局部解的存在唯一性.; 关键词：非线性抛物系统强耦合系统趋化性

UNIVERSAL BOUNDS FOR EIGENVALUES OF LAPLACIAN OPERATOR OF ANY ORDER被引量：7: 《Acta Mathematica Scientia》2010年第3期939-948,共10页黄广月陈文艺; supported by NSFC (10471108,10631020) of China;NSF of Henan Provincial Education Department (2010A110008); Let Ω be a connected bounded domain in R^n. Denote by λi the i-th eigenvalue of the Lapla^ian operator with any order p：{u=Эn→^-Эu=…=Эn→p-1^-Эp-1u=0 on ЭΩ （-△）pu=λu in Ω.In this article, we give som...; 关键词：EIGENVALUE Laplacian operator

大小结构种群模型的平衡解的稳定性被引量：3: 《数学物理学报（A辑）》2010年第2期417-424,共8页刘克英刘伟安; 国家自然科学基金(10471108);华北水利水电学院高层次人才科研启动项目(200825)资助; 考虑了一个大小结构的非线性种群模型,其各变化率不但依赖于个体的大小,而且依赖于总群口.利用扰动方法,得到了特征方程并分析了平衡解的稳定性,对于特殊的变化率,给出了平衡解稳定的充分条件.; 关键词：稳定性平衡解大小结构的种群模型

INEQUALITIES OF EIGENVALUES FOR BI-KOHN LAPLACIAN ON HEISENBERG GROUP被引量：12: 《Acta Mathematica Scientia》2010年第1期125-131,共7页黄广月陈文艺; supported by NSFC (10471108,10631020); In this article, we consider the eigenvalue problem for the bi-Kohn Laplacian and obtain universal bounds on the （k ＋ 1）-th eigenvalue in terms of the first k eigenvalues independent of the domains.; 关键词：EIGENVALUE universal bounds bi-Kohn Laplacian

一类带反应项的Othmer-Stevens型趋化模型解的存在性被引量：2: 《数学物理学报（A辑）》2009年第6期1561-1571,共11页李俊锋刘伟安; 国家自然科学基金(10471108)资助; 该文讨论了一类带反应项的Othmer-Stevens型趋化模型的初边值问题证明了:如果边界θΩ∈C^(2+β),函数Φ(x,t,w),f(x,t,u)和g(x,t,u,w)充分光滑,则该系统存在唯一解.; 关键词：趋化 Othmer—Stevens模型紧算子不动点.

Existence of Equilibrium Solutions to a Size-Structured Predator-Prey System with Functional Response被引量：1: 《Wuhan University Journal of Natural Sciences》2009年第5期383-387,共5页LIU Keying,LIU Weian School of Mathematics and Statistics,Wuhan University,Wuhan 430072,Hubei,China; Supported by the National Natural Science Foundation of China (10471108); In this paper, we consider a nonlinear size-structured population model with functional response, which describes the dynamics of a predator-prey system living in a common habitat. We present a kind of functional resp...; 关键词：equilibrium solutions functional response predator- prey system size-structured population model

Asymptotic Behavior of Solution to Some Models Involving Two Species All with Chemotaxis: 《Journal of Partial Differential Equations》2009年第3期266-281,共16页LI Junfeng LIU Weian; This work is supported by the National Natural Science Foundation of China （10471108）.; This paper is concerned with the asymptotic behavior of solution to the following model involving two species all with chemotaxis：{αp/αt=Dp△（p△lnp/w）,αp/αt=Dq△（q△lnq/w）,αw/αt=βp-δw,p△ln（p/w）.^-n=q...; 关键词：Chemotaxis model asymptotical behavior of solution BLOW-UP QUENCHING comparison.

Global and Non-Global Solutions to Some Chemotaxis Model: 《Wuhan University Journal of Natural Sciences》2009年第3期189-193,共5页CHEN Hua LI Junfeng LIU Weian; Supported by the National Natural Science Foundation of China(10471108); The paper is concerned with some chemotaxis model au/at=DV（u↓△ln（u/w））＋u（a-bu）,aw/at--f（u, w）. To study the behavior of the solution, some function transformations are intro- duced, and the main tool is sup...; 关键词：CHEMOTAXIS blow up global solution sup-sub-solution

国家自然科学基金(10471108)