徐润章

发布时间:2016-05-30  浏览次数:1280

  • 姓名:徐润章

  • 出生年月:1982年 6月

  • 职称:教授

  • 职务:

  • 指导博士学科:1.控制科学与工程

  • 指导硕士学科:1.系统科学

  • 研究所: 海洋运载器导航技术研究所

  • 电话:

  • 手机:13895793068

  • 传真:0451-82519754

  • 邮编:150001

  • E-mail:xurunzh@163.com

工作简历
  •    哈尔滨工程大学理学院数学研究中心-教授,博士生导师。

研究领域
  • 非线性动力系统;非线性发展方程

  • 招生专业:

  • 硕士:应用数学(招生院系 理学院)

  • 博士:控制科学与工程(招生院系 自动化学院)

  • 博士后流动站:控制科学与工程(招生院系 自动化学院)

学术兼职
  • 美国数学会(AMS)会员;美国数学评论(MR)评论员;黑龙江省数学会常务理事;国际数学物理联合会会员;中国科技论文在线特聘评审专家,《数学研究期刊》编委。

主要论著及代表性论文
  • [1] Xu Runzhang, Su Jia, Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations, Journal Functional Analysis, 2013, 264: 2732-2763.

  • [2] Xu Runzhang, Xu Chuang. Sharp conditions of global existence for second-order derivative nonlinear Schrodinger equations with combined power-type nonlinearities, ZAMM- Z. Angew. Math. Mech, 2013,93(1):29-37.

  •  [3] Xu Runzhang, Liu Jie, Niu Yi, Chen Shaohua, Asymptotic behaviour of solution for multidimensional viscoelasticity equation with nonlinear source term, Boundary Value Problems 2013, 2013:42 .

  •  [4] Xu Runzhang, Xu Chuang, Cross-constrained problems for nonlinear Schrodinger equation with harmonic potential,Electronic Journal of Differential Equations,2012,2012(211):1-12.

  •  [5] Xu Runzhang, Jiang Xiaoli, Liu Jie, Uniform blow-up rate for a compressible reactive gas model, Applied Mathematics and Mechanics(English Edition), 2012,33(1):129-138.

  • [6] Xu Runzhang, Cao Xiuying, Yu Tao, Finite time blow-up and global solutions for a class of semilinear parabolic equations at high energy level, Nonlinear Analysis Series B: Real World Applications,2012, 13(1)197-202.

  •  [7] Xu Runzhang, Jin Chunyan, Yu Tao, Liu Yacheng, On quenching for some parabolic problems with combined power-type nonlinearities, Nonlinear Analysis Series B: Real World Applications, 13(2012)333-339.

  •  [8] Xu Runzhang, Liu Yacheng, Ill-posedness of nonlinear parabolic equation with critical initial condition, Mathematics and Computers in Simulation 82(2012) 1363-1374.

  •  [9] Xu Runzhang, Yang Yanbing, Finite time blow up for the nonlinear fourth-order dispersive-dissipative wave equation at high energy level, International Journal of Mathematics, 23(5)(2012)1250060-1-10.

  • [10] Jiang Xiaoli, Xu Runzhang, Global well-posedness for semilinear hyperbolic equations with dissipative term, Journal of Applied Mathematics and Computing, 2012,38(1-2):467-487.

  • [11] Jiang Xiaoli, Yang Yanbing, Xu Runzhang, Family potential wells and its applications to NLS with harmonic potential, Applied Mathematics & Information Sciences, 6(1S)(2012) 155S-165S.

  • [12] Xu Runzhang, Xu Chuang, Liu Yang, Yu Tao. Well-posedness of nonlinear wave equation with combined power-type nonlinearities, Mathematical Methods in the Applied Sciences, 2011,34(8)869-895.

  • [13] Xu Runzhang, Liu Yacheng, Liu Bowei. The Cauchy problem for a class of multidimensional Boussinesq type equation, Nonlinear Analysis: Theory, Methods & Applications,2011,74(6)2425-2437.

  • [14] Xu Runzhang, Cauchy problem of generalized Boussinesq equation with combined power-type nonlinearities, Mathematical Methods in the Applied Sciences, 2011,34(18)2318-2328

  • [15] Xu Runzhang. Global existence, blow up and asymptotic behaviour of solutions for nonlinear Klein-Gordon equation with dissipative term, Mathematical Methods in Applied Science, 2010, 33, 831–844.

  •  [16] Xu Runzhang, Initial boundary value problem of semilinear hyperbolic equations and parabolic equations with critical initial data, Quarterly of Applied Mathematics,2010,LXVIII(3):459–468.

  • [17] Xu Runzhang,Xu Chuang. Nonlinear Schrodinger equation with combined power-type nonlinearities and harmonic potential, Applied Mathematics and Mechanics(English Edition), 31(4), 521-528 (2010)

  • [18] Xu Runzhang, Liu Yacheng, Global existence and blow-up of solutions for generalized Pochhammer-Chree equations, Acta Mathematica Scientia, 2010,30B(5):1793–1807

  • [19] Xu Runzhang, Yu Tao. Remarks on wave equations involving two opposite nonlinear source terms. Journal of Applied Mathematics and Computing, 2009,29(1-2):15-18.

  • [20] Xu Runzhang, Liu Yang, Wu Weining. The depth of potential wells and their computations, The Sixth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory. Georgia, USA. March 23-26, 2009.

  •  [21] Liu Yacheng, Xu Runzhang. Generalized Boussinesq equations with various power type nonlinearities. The Sixth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory. Georgia, USA. March 23-26, 2009.

  •  [22] Liu Yacheng, Xu Runzhang. Local well posedness of Cauchy problem for viscous diffusion equations,International Journal of Mathematics, 2009,20(4):509-519.

  •  [23] Runzhang Xu, Yacheng Liu, Global existence and nonexistence of solution for Cauchy problem of multidimensional double dispersion equations, Journal of Mathematical Analysis and Applications, 2009,359(2): 739-751.

  • [24] Runzhang Xu, Yacheng Liu, Tao Yu, Global existence of solution for Cauchy problem of multidimensional generalized double dispersion equations, Nonlinear Analysis: Theory, Methods & Applications, 2009,71(10) :4977-4983.

  •  [25] Liu Yacheng, Xu Runzhang. Family of potential wells and its applications to Boussinesq equations. XVI International Congress on Mathematical Physics, Prague, August 3-8, 2009.

  • [26] Xu Runzhang, Wu Weining. Varitional method to evolution equation with combined power-type. XVI International Congress on Mathematical Physics, Prague, August 3-8, 2009.

  •  [27] Yu Tao, Tang Liqiang, Xu Runzhang. Qualitative analysis of a nonlinear viscous diffusion equation, Nonlinear Analysis: Theory, Methods & Applications,2009,71:1059-1064.

  • [28] Xu Runzhang, Shen Jihong. Some generalized results for global well-poseness for wave equations with damping and source terms, Mathematics and Computers in Simulation, 80(2009):804-807.

  • [29] Xu Runzhang. Asymptotic behavior and blow up of solutions for semilinear parabolic equations at critical energy level, Mathematics and Computers in Simulation, 80(2009):808-813.

  • [30] Liu Yacheng, Xu Runzhang. Potential well method for Cauchy problem of generalized double dispersion equations, Journal of Mathematical Analysis and Applications, 338 (2008) 1169–1187.

  •  [31] Liu Yacheng, Xu Runzhang. A class of fourth order wave equations with dissipative and nonlinear strain terms, Journal of Differential Equations, 244 (2008) 200–228.

  •  [32] Xu Runzhang, Zhao Xiren, Shen Jihong. Asymptotic behavior of solutions for the fourth order wave equation with dispersive and dissipative terms[J]. Applied Mathematics and Mechanics(English Edition), 2008,29(2):259-262.

  •  [33] Liu Yacheng, Xu Runzhang. Potential well method for initial boundary value problem of the generalized double dispersion equations, Communications on Pure and Applied Analysis, 7 (2008), no. 1, 63-81. 2008.1

  •  [34] Liu Yacheng, Xu Runzhang,Yu Tao. Global existence, nonexistence and asymptotic behavior of solutions for Cauchy problem of semilinear heat equations, Nonlinear Analysis-Theory Methods & Applications,2008,68(11):3332-3348. 2008.6.11

  • [35] Xu Runzhang, Liu Yacheng. Remarks on nonlinear Schrödinger equation with harmonic potential. Journal of Mathematical Physics, 2008, 49(4),: 043512-043512-5.R. Xu,Y. Liu. Remarks on nonlinear Schrödinger equation with harmonic potential. J. Math. Phys. 49, 043512 (2008) 2008-4

  • [36] Liu Yacheng, Xu Runzhang. Global existence and blow up of solutions for Cauchy problem of generalized Boussinesq equation, Physica D: Nonlinear Phenomena, 2008,237:721–731.

  •  [37] Xu Runzhang, Liu Yacheng. Asymptotic behavior of solutions for initial boundary value problem of strongly damped nonlinear wave equations[J]. Nonlinear Analysis Series A: Theory, Methods & Applications, 2008, 69(8): 2492-2495. 2008-10-15

  •  [38] Xu Runzhang, Zhang Wenying, Wu Weining. Wave equations and reaction-diffusion equations with two nonlinear source terms of different sign[M]. Invited Article, Nonlinear Analysis Research Trends, Inès N. Roux (Editor-in-Chief), Hauppauge: Nova Science Publishers, pp 259-281, 2008, 2nd Quarter, ISBN: 978-1-60456-358-0

  • [39] Wu Weining ,Xu Runzhang, Zhang Wenying,. Global Well-posedness of a Class of Nonlinear Wave Equations and Heat Equations, International Journal of Evolution Equations, Volume 4 Issue 3, pp. 321-344(2008)

  • [40] XU Runzhang. Asymptotic behavior and blow up of solutions for the viscous diffusion equation, Applied Mathematical Letters.20 (2007) 255-259.

  • [41] Liu Yacheng, Xu Runzhang, Fourth order wave equations with nonlinear strain and source terms, Journal of Mathematical Analysis and Applications,331 (2007) 585–607.

  • [42] Liu Yacheng, Xu Runzhang. Wave equations and reaction-diffusion equations with several nonlinear source terms of different sign,Discrete and Continuous Dynamical System-Series B,2007,7(1):171-189.

获得奖励及荣誉称号
  • 2009.6.17 第11届黑龙江省自然科学技术学术成果二等奖

  • 2010.10 哈尔滨市自然科学技术学术成果二等奖

  • 2010.4.9 黑龙江省高校科学技术一等奖

  • 2010.9 黑龙江省科学技术三等奖

讲授课程
  • 本科:数学物理方程; 概率论与数理统计; 专业英语

  • 研究生:系统科学概论; 非线性动力系统; 偏微分方程中的泛函分析方法; 非线性发展方程

承担主要项目
  • 2005.1-2007.12 黑龙江省教育厅科研项目

  • 2005.1-2006.12 哈尔滨工程大学基础研究基金项目

  • 2007.12-2009.12 黑龙江省自然科学基金项目

  • 2009.1-2011.1 哈尔滨工程大学基础研究基金项目(引进人才)

  • 2009.1-2010.12 黑龙江省自然科学基金项目

  • 2009.1-2011.12 国家自然科学基金

  • 2009.1-2010.12 黑龙江省教育厅科学技术研究面上项目

  • 2010.1-2010.12 国家自然科学基金

  • 2010.1-2010.12 中央高校基本科研业务费专项资金自由探索计划

  • 2011.1-2012.1 高等学校博士学科点专项科研基金

  • 2012.1-2014.12 国家自然科学基金

  • 2012.1-2013.6 黑龙江省教育厅科学技术研究项目

  • 2015.1-2018.12 国家自然科学基金

国际学术交流
  • 1.2007年4月16日到4月19日参加在美国乔治亚州乔治亚大学召开的The Fifth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory.作专题报告30分钟,发表会议论文2篇。

  • 2.2007年12月17日到22日参加在杭州召开的"The Fourth International Congress of Chinese Mathematicians"(第四届华人数学家大会,做分会报告,发表会议论文3篇)。

  • 3.2009年应邀担任The Sixth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory分会主席.

  • 4.2012 应邀参加International Conference on Nonlinear Evolutionary Partial Differential Equation- Theories and Applications并做大会报告。

  • 5.2013年应邀担任The Sixth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory分会主席并做分组报告.

  • 6.2013年应邀参加2013 CMS (The Canadian Mathematical Society) Summer Meeting并做分组报告。

  • 7.2013年应邀参加The Sixth International Congress of Chinese Mathematicians并做分组报告.

  • 8.2014年应邀参加The 10th AIMS conference on Dynamical Systems, Differential Equations and Applications并做分组报告.

  • 9.2014年应邀参加International Congress of Mathematicians 2014并做分组报告.

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