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梁兴

梁兴,男,现任数学科学学院教授、博士生导师。研究方向为微分方程(抛物方程动力学及其相关领域)。

  • 中文名:梁兴
  • 所在单位:数院计算与应用数学系
  • 学历:博士(中国科学技术大学,2003)
  • 职称:教授
  • 研究方向:微分方程

个人简介

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.


AWARDS AND HONORS:


(2) Zhong Jiaqing Mathematics Award, Chinese Mathematics Society, 2005
(3) Excellent Ph.D Thesis Award , Academia Sinica, 2005.
(4) Excellent Ph.D. Thesis Award, The Ministry of Education, 2006




联系信息

    办 公 室          管理科研楼1417    

 办公电话          0551-63600217    

 电子邮件          xliang@ustc.edu.cn    


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>

2003-2004学年第二学期:  数理方程


2004-2005学年第二学期:  反应扩散方程


2005-2006学年第一学期:  种群动力学


2005-2006学年第二学期:  数理方程


2008-2009学年第二学期:  数理方程


2008-2009学年第二学期:  数学传染病学 


2009-2010学年第一学期:  数理方程


2009-2010学年第二学期:  非线性分析基础 


2010-2011学年第一学期:  常微分方程

科研情况

研究方向: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.      


校园相关

梁兴教授本科、博士阶段均就读于中国科学技术大学数学系,现任数学科学学院教授、博士生导师。研究方向为微分方程。

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