中國科學技術大學數(shù)學學院導師:梁興

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中國科學技術大學數(shù)學學院導師:梁興

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中國科學技術大學數(shù)學學院導師:梁興 正文

 


梁興教授
所在系 計算與應用數(shù)學系
研究方向 微分方程
辦公室 1417
辦公電話 0551-63600217
電子郵件 xliang@ustc.edu.cn
個人主頁  

  個人簡介
  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,F(xiàn)eb.-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:
 ?。?) 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

  工作簡歷
  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.

  教學情況
  2001-2002學年第一學期:數(shù)理方程 (主講)。
  2001-2002學年第二學期:常微分方程(助教)。
  2002-2003學年第一學期:數(shù)理方程 (主講)。
  2002-2003學年第二學期:常微分方程(助教)。
  2002-2003學年第二學期協(xié)助蔣繼發(fā)教授講授研究生課程<無限維動力系統(tǒng)幾何理論>
  2004年以來教學情況:
  常微分方程 本科生 2010 秋
  數(shù)理方程0800901本科生 2009秋
  數(shù)理方程 0801301 本科生 2009秋
  數(shù)理方程0700501 本科生 2009春
  數(shù)理方程0401001 本科生 2006春
  數(shù)理方程 0200701,20304 本科生 2004春
  非線性分析基礎 研究生2010春
  數(shù)學傳染病學 研究生2009春
  種群動力學 研究生2005秋
  反應擴散方程 研究生2005春

  科研情況
  研究方向:
  1.拋物方程動力學及其相關領域
  目前主要興趣:
  非均衡與隨機介質(zhì)中的行波現(xiàn)象。含有空間結構的系統(tǒng)(主要由拋物方程及類似方程生成)的動力學的精細刻劃。生態(tài)學、傳染病學及材料學中應用。
  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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