中国科学技术大学数学学院导师介绍:梁兴
梁兴教授 所在系 计算与应用数学系
梁兴教授 | |
所在系 | 计算与应用数学系 |
研究方向 | 微分方程 |
办公室 | 1417 |
办公电话 | ************* |
电子邮件 | xliang@ustc.edu.cn |
个人主页 |
个人简介
Curriculum Vitae
Last Name:Liang First Name:Xing
Sex:Male Citizenship:P.R.China
Birth Date:July 18,1976 Marital Status:Married
EDUCATION:
Ph.D.in Pure Mathematics,July 2003 (Supervisor:Prof.Jifa Jiang),University of Science and Technology of China,Hefei,China.
B.S.in Mathematics,July 1998,University of Science and Technology of China,Hefei,
China.
PROFESSIONAL EXPERIENCE:
Professor,July.2009-present,Department of Mathematics,University of Science and Technology of China,P.R.China.
Associate Professor,Jan.2004-June,2009,Department of Mathematics,University of Science and Technology of China,P.R.China.
Lecturer,June 2001- Dec 2003,Department of Mathematics,University of Science and Technology of China,P.R.China.
Visiting Fellow,April,2011,National Center of Theoretical Sciences,National Tsinghua University,Taiwan.Host:Prof.Szi-Bi Hsu.
Visiting Fellow,Feb.-March.2011,Department of Mathematics,University of New England,Australia.Host:Prof.Yihong Du.
Visiting Professor,July,2010,National Center of Theoretical Sciences,Taiwan Normal University,Taiwan.Host:Prof.Jong-Shenq Guo
JSPS Post-doctor Fellow,Nov.2006-Nov.2008,Graduate School of Mathematical Science,University of Tokyo.Host:prof.Hiroshi Matano.
Research Visitor,July-Aug.2006,Department of Mathematics and Statistics,Memorial University of Newfoundland,Canada.Host:Prof.Xiaoqiang Zhao.
Visiting Fellow,Aug.-Sep.2005,Department of Mathematics,University of New England,Australia.Host:Prof.Yihong Du.
Research Visitor,Sep.2004-Jan.2005,Department of Mathematics and Statistics,Memorial University of Newfoundland,Canada.Host:Prof.Xiaoqiang Zhao.
Visiting Fellow,Sep.-Nov.2003,School of Mathematics and Statistics,University of Sydney,Australia.Host:Prof.Norman Dancer.
GRANTS:
1.New Century Outstanding Younger Fellowship,The Ministry of Education,2007.1-2011.12
2.NSF of China,Spreading speed and Traveling waves of heterogeneous parabolic equations,Individual research grant,Jan.2009 -Dec.2011.
3.NSF of China Young Investigator Award,Dynamics of n-species competitive Lotka-Volterra Reaction Diffusion Systems,Individual research grant,Jan.2005 -Dec.2007.
4.Outstanding Younger Fellowship of University of Science and Technology of China.
RESEARCH INTERESTS:
Nonlinear Analysis,Infinite-Dimensional Dynamical Systems,Nonlinear Parabolic Equations.
MAIN PUBLICATION LIST:
1.(with Jong-Shenq Guo) ,The Minimal Speed of Traveling Fronts for the Lotka-Volterra Competition System,Journal of Dynamics and Differential Equations,23(2),pp 353-363,2011/6.
2.(with Xiaoqiang Zhao),Asymptotic Speeds of Spread and Traveling Waves for Monotone Semiflows with Applications,Communications on Pure and Applied Mathematics,Vol.60,1 – 40,2007.
3.(with Xiaoqiang Zhao),Spreading speeds and traveling waves for abstract monostable evolution systems,Journal of Functional Analysis,259 857–903 ,2010
4.(with Xiaotao Lin and Hiroshi Matano),A variational problem associated with the minimal speed of travelling waves for spatially periodic reaction-diffusion equations,TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,362(11),pp 5605-5633,2010/11.
5.(with Jifa Jiang),Competitive systems with migration and the Poincare-Bendixson theorem for a 4-dimensional case,Quarterly of Applied Mathematics,Vol.64,483-498,2006.
6.(with Yihong Du),Spatially A diffusive competition model with a protection zone,J.Differential Equations,Vol.244,61-86,2008.
7.(with Jifa Jiang and Xiaoqiang Zhao),Saddle Point Behavior for Monotone Semiflows and Reaction-Diffusion Models,J.Differential Equations ,Vol.203,313—330,2004.
8.(with Yingfei Yi and Xiao-qiang Zhao),Spreading speeds and traveling waves for periodic evolution systems,Journal of Differential Equations,Vol.231,Issue 1,57-77,2006.
9.(with Daozhou Gao),A Competition-Diffusion System with a Refuge,Discrete and Continuous Dynamical Systems–SERIES B,Vol 8,Number 2,Pages 435-454,2007.
10.(with Jifa Jiang),Discrete infinite dimensional type-K monotone dynamical systems and time-periodic reaction diffusion systems,J.Differential Equations,Vol.189,no.1,318-354,2003.
11.(with Jifa Jiang),The dynamical behavior of type-K competitive Kolmogorov systems and its applications to 3-dimensional type-K competitive Lotka-Volterra systems,Nonlinearity,Vol.16,785-801,2003.
12.(with Jifa Jiang),On the finite dimensional dynamical systems with limited competition,Trans.Amer.Math.Soc.,Vol.354,3535-3554,2002.
13.(with Jifa Jiang),The classification of the dynamical behavior of 3- dimensional type K monotone Lotka-Volterra systems,J.Nonlinear Analysis,Vol.51,no.5,749-763,2002.
14.(with Jifa Jiang),On the topological entropy,nonwandering set and chaos of monotone and competitive dynamical systems,Chaos,Solitons and Fractals,Vol.14,689-696 ,2002.
AWARDS AND HONORS:
(1) Zhong Jiaqing Mathematics Award,Chinese Mathematics Society,2005
(2) Excellent Ph.D Thesis Award ,Academia Sinica,2005.
(3) Excellent Ph.D.Thesis Award,The Ministry of Education,2006
工作简历
Research Visitor,July 2010,Taiwan University,Taiwan Normal University and Taiwan Tsinghua University.Host:Prof.J.Guo,S.Hsu.
JSPS Post-doctor Fellow,Nov.2006-Nov.2008,Graduate School of Mathematical Science,University of Tokyo.Host:Prof.Hiroshi Matano.
Research Visitor,July-Aug.2006,Department of Mathematics and Statistics,Memorial University of Newfoundland,Canada.Host:Prof.Xiaoqiang Zhao.
Visiting Fellow,Aug.-Sep.2005,Department of Mathematics,University of New England,Australia.Host:Prof.Yihong Du.
Research Visitor,Sep.2004-Jan.2005,Department of Mathematics and Statistics,Memorial University of Newfoundland,Canada.Host:Prof.Xiaoqiang Zhao.
Professor,July 2010-present Department of Mathematics,University of Science and Technology of China,P.R.China.
Special Professor,July.2009-June 2010,Department of Mathematics,University of Science and Technology of China,P.R.China.
Associate Professor,Jan.2004-June,2009,Department of Mathematics,University of Science and Technology of China,P.R.China.
Visiting Fellow,Sep.-Nov.2003,School of Mathematics and Statistics,University of Sydney,Australia.Host:Prof.Norman Dancer.
Lecturer,June 2001- Dec 2003,Department of Mathematics,University of Science and Technology of China,P.R.China.
教学情况
2001-2002学年第一学期:数理方程 (主讲)。
2001-2002学年第二学期:常微分方程(助教)。
2002-2003学年第一学期:数理方程 (主讲)。
2002-2003学年第二学期:常微分方程(助教)。
2002-2003学年第二学期协助蒋继发教授讲授研究生课程<无限维动力系统几何理论>
2004年以来教学情况:
常微分方程 本科生 2010 秋
数理方程0800901本科生 2009秋
数理方程 0801301 本科生 2009秋
数理方程0700501 本科生 2009春
数理方程0401001 本科生 2006春
数理方程 0200701,20304 本科生 2004春
非线性分析基础 研究生2010春
数学传染病学 研究生2009春
种群动力学 研究生2005秋
反应扩散方程 研究生2005春
科研情况
研究方向:
1.抛物方程动力学及其相关领域
目前主要兴趣:
非均衡与随机介质中的行波现象。含有空间结构的系统(主要由抛物方程及类似方程生成)的动力学的精细刻划。生态学、传染病学及材料学中应用。
主要工作
1.(with Xiaotao Lin and Hiroshi Matano),A variational problem associated with the minimal speed of travelling waves for spatially periodic reaction-diffusion equations,Trans.Amer.Math.Soc.,5605-5633,2010.
2.(with Xiaoqiang Zhao),Spreading speeds and traveling waves for abstract monostable evolution systems,Journal of Functional Analysis,259 857–903 ,2010
3.(with Xiaoqiang Zhao),Asymptotic Speeds of Spread and Traveling Waves for Monotone Semiflows with Applications,Communications on Pure and Applied Mathematics,Vol.60,1 – 40,2007.
4.(with Jifa Jiang),Competitive systems with migration and the Poincare-Bendixson theorem for a 4-dimensional case,Quarterly of Applied Mathematics,Vol.64,483-498,2006.
5.(with Yihong Du),Spatially A diffusive competition model with a protection zone,J.Differential Equations,Vol.244,61-86,2008.
6.(with Jifa Jiang and Xiaoqiang Zhao),Saddle Point Behavior for Monotone Semiflows and Reaction-Diffusion Models,J.Differential Equations ,Vol.203,313—330,2004.
7.(with Yingfei Yi and Xiao-qiang Zhao),Spreading speeds and traveling waves for periodic evolution systems,Journal of Differential Equations,Vol.231,Issue 1,57-77,2006.
8.Xing Liang and Jifa Jiang,Discrete infinite dimensional type-K monotone dynamical systems and time-periodic reaction diffusion systems,J.Differential Equations,Vol.189,no.1,318-354,2003.
9.Xing Liang and Jifa Jiang ,On the finite dimensional dynamical systems with limited competition,Trans.Amer.Math.Soc.,Vol.354,3535-3554,2002.
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