徐润章部门：理学院

学科：数学

职务：

职称：教授

指导
资格：博士生导师
电话：**

传真：**

邮箱：xurunzh@163.com

邮编：150001

地址：理学楼 320
个人简介
哈尔滨工程大学-理学院-数学研究中心-教授，博士，博士生导师。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，《哈尔滨工程大学学报》编委，《数学研究期刊》编委，SCI检索JCR1区杂志Applied Numerical Mathematics编委，The Tenth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory，学术委员会委员（Scientific Program Committee）；第十四届，第十五届非线性偏微分方程暑期讲习班暨学术会议组织委员会委员。

教育经历


工作经历
2009年9月-2013年8月，哈尔滨工程大学，副教授
2013年9月- 至今，哈尔滨工程大学，教授
研究方向
　　非线性发展方程，系统理论，非线性动力系统　　

承担项目
　　1.2005.1-2007.12，黑龙江省教育厅科研项目　
　　2.2005.1-2006.12，哈尔滨工程大学基础研究基金项目
　　3.2007.12-2009.12，黑龙江省自然科学基金项目
　　4.2009.1-2011.1，哈尔滨工程大学基础研究基金项目（引进人才）
　　5.2009.1-2010.12，黑龙江省自然科学基金项目
　　6.2009.1-2011.12，国家自然科学基金
　　7.2009.1-2010.12，黑龙江省教育厅科学技术研究面上项目
　　8.2010.1-2010.12，国家自然科学基金
　　9.2010.1-2010.12，中央高校基本科研业务费专项资金自由探索计划
　　10.2011.1-2012.1，高等学校博士学科点专项科研基金
　　11.2012.1-2014.12，国家自然科学基金
　　12.2012.1-2013.6，黑龙江省教育厅科学技术研究项目
　　13.2014，第一批博士后国际交流计划派出项目资助
　　14.2014，第一批博士后国际交流计划学术交流项目资助
　　15.2015.1-2018.12，国家自然科学基金


学术交流
招生信息
　　每年可招收博士生2名，研究生4名，博士后2名　

本科生授课课程
　　数学物理方程
　　概率论与数理统计
　　专业英语

研究生授课课程
　　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　

实践性教学
教学研究课题
社会兼职



专利成果



出版著作
[1]徐润章，杨延冰，非线性发展方程的初值依赖问题,科学出版社,北京：2017年6月

发表论文
[1] Yanbing Yang，Runzhang Xu，Finite time blowup for nonlinear Klein-Gordon equations with arbitrarily positive initial energy, Applied Mathematics Letters, 2018,77:21-26.
[2] Shaohua Chen, Yurij Salmaniw, Runzhang Xu, Bounded solutions to a singular parabolic system, Journal of Mathematical Analysis and Applications, 455(2017)936-978.
[3] Runzhang Xu, Mingyou Zhang, Shaohua Chen, Yanbing Yang and Jihong Shen, The initial-boundary value problems for a class of six order nonlinear wave equation, Discrete and Continuous Dynamical Systems, 2017,37(11)5631-5649.
[4] Runzhang Xu, Yongbing Luo, Jihong Shen Shaobin Huang, Global existence and blow up for damped generalized Boussinesq equation, Acta Mathematicae Applicatae Sinica, English Series, 2017，33（1）：251-262.
[5] Shaohua Chen, Yurij Salmaniw, Runzhang Xu, Global Existence for a Singular Gierer-Meinhardt System, Journal of Differential Equations, 262 (2017) 2940–2960.
[6] Runzhang Xu, Yi Niu, Addendum to “Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations” [J. Func. Anal. 264 (2013) 2732- 2763], Journal of Functional Analysis,2016,270(10):4039-4041.
[7] Sumit Kumar Vishwakarma, Runzhang Xu, Rayleigh wave dispersion in an irregular sandy Earth's crust over orthotropic mantle, Applied Mathematical Modelling, 40 (2016) 8647–8659.
[8] S. K. Vishwakarma , Runzhang Xu, G-type dispersion equation under suppressed rigid boundary: analytic approach, Applied Mathematics and Mechanics, 4(2016)501-512.
[9] Sumit Kumar Vishwakarma, Runzhang Xu. Impact of quadratically varying rigidity and linearly varying density on the Rayleigh wave propagation: An analytic solution, International Journal of Solids and Structures, 97–98 (2016) 182–188.
[10] Shen Jihong, Zhang Mingyou, Wang Xingchang, Liu Bowei, Xu Runzhang*, Global well-posedness for strongly damped multidimensional generalized Boussinesq equations, Mathematical Methods in the Applied Sciences, 15(2016)4437-4450.
[11] Shaohua Chen, Runzhang Xu, Hongtao Yang, Global and blowup solutions for general Lotka-Volterra system, Communications on Pure and Applied Analysis, 15(2016)1757-1768.
[12] Xu Runzhang, Wang Xingchang, Chen Shaohua, Liu Yu, Yang Yanbing，Global existence and blow up of solutions for two classes of reaction diffusion systems with two nonlinear source terms in bounded domain，Appl. Math. J. Chinese Univ., 4(2016)389-408.
[13] Xu Runzhang, Wang Xingchang, Xu Huichao, Zhang Mingyou，Arbitrary energy global existence for wave equation with combined power-type nonlinearities of different signs, Boundary Value Problems, 2016(2016):214
[14] Xu Runzhang, Yang Yanbing, Liu Bowei, Shen Jihong and Huang Shaobin. Global existence and blowup of solutions for the multidimensional sixth-order “good” Boussinesq equation, Zeitschrift fur angewandte Mathematik und Physik ZAMP, 2015, 66: 955-976(JCR1区,IF：1.109)
[15] Chen Shaohua and Xu Runzhang. Large time behavior of solutions to degenerate parabolic equations, Nonlinear Differential Equations and Applications NoDEA, 2015, 22 : 301-309（JCR2区，IF:0.897）
[16] Xu Runzhang, Wang Xuemei, Niu Yi, Zhang Mingyou and Liu Jie. Sharp criterion of global existence for a class of nonlinear Schr?dinger equations with critical exponent, Mathematics and Computers in Simulation, 2015, 107: 46-51. （JCR2区，IF:0.949）
[17] Xu Runzhang, Chen Tianlong, Liu Chunmei and Ding Yunhua. Global well-posedness and global attractor of fourth order semilinear parabolic equation, Mathematical Methods in the Applied Sciences, 2015, 38: 1515-1529. （JCR2区，IF:0.918）
[18]
[19] 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.
[20] 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.
[21] 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 .
[22] Shen Jihong, Yang Yanbing, Chen Shaohua, Xu Runzhang. Finite time blow up of fourth order wave equations with nonlinear strain and source terms at high energy level, International Journal of Mathematics, 24(5)(2013)**-1-8.
[23] Xu Runzhang, Ding Yunhua. Global solutions and finite time blow up for damped Klein-Gordon equation, Acta Matematica Scientia, 2013,33B(3):643-652.
[24] Xu Runzhang, Yang Yanbing, Global existence and asymptotic behaviour of solutions for a class of fourth order strongly damped nonlinear wave equations, Quarterly of Applied Mathematics, 2013,52(3):401-415.
[25] Xu Runzhang, Wang Shuo, Yang Yanbing, Ding Yunhua, Initial boundary value problem for a class of fourth order wave equation with viscous damping term, Applicable Analysis: An International Journal, 2013,92(7):1403-1416.
[26] Xu Runzhang, Yang Yanbing, Chen Shaohua, Su Jia, Shen Jihong, Huang Shaobin, Nonlinear wave equations and reaction-diffusion equations with several nonlinear source terms of different signs at high energy level, Australian and New Zealand Industrial and Applied Mathematics Journal- ANZIAM Journal, 2013， 54;153-170.
[27] Xu Runzhang, Xu Chuang, Cross-constrained problems for nonlinear Schrodinger equation with harmonic potential，Electronic Journal of Differential Equations，2012,2012(211):1-12.
[28] 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.
[29] 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.
[30] 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.
[31] Xu Runzhang, Liu Yacheng, Ill-posedness of nonlinear parabolic equation with critical initial condition, Mathematics and Computers in Simulation 82(2012) 1363-1374.
[32] 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)**-1-10.
[33] 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.
[34] 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.
[35] 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.
[36] 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.
[37] Xu Runzhang, Cauchy problem of generalized Boussinesq equation with combined power-type nonlinearities, Mathematical Methods in the Applied Sciences, 2011,34(18)2318-2328
[38] 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.
[39] 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.
[40] 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)
[41] Xu Runzhang, Liu Yacheng, Global existence and blow-up of solutions for generalized Pochhammer-Chree equations, Acta Mathematica Scientia, 2010,30B(5):1793–1807
[42] 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.
[43] 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.
[44] 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.
[45] Liu Yacheng, Xu Runzhang. Local well posedness of Cauchy problem for viscous diffusion equations，International Journal of Mathematics, 2009,20(4):509-519.
[46] 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.
[47] 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.
[48] 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.
[49] Xu Runzhang, Wu Weining. Varitional method to evolution equation with combined power-type. XVI International Congress on Mathematical Physics, Prague, August 3-8, 2009.
[50] Yu Tao, Tang Liqiang, Xu Runzhang. Qualitative analysis of a nonlinear viscous diffusion equation, Nonlinear Analysis: Theory, Methods & Applications,2009，71：1059-1064.
[51] 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.
[52] 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.
[53] 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.
[54] 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.
[55] 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.
[56] 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
[57] 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
[58] Xu Runzhang, Liu Yacheng. Remarks on nonlinear Schr?dinger equation with harmonic potential. Journal of Mathematical Physics, 2008, 49(4),: 043512-043512-5.
R. Xu,Y. Liu. Remarks on nonlinear Schr?dinger equation with harmonic potential. J. Math. Phys. 49, 043512 (2008) 2008-4
[59] 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.
[60] 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
[61] 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
[62] 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）
[63] XU Runzhang. Asymptotic behavior and blow up of solutions for the viscous diffusion equation, Applied Mathematical Letters.20 (2007) 255-259.
[64] Liu Yacheng, Xu Runzhang, Fourth order wave equations with nonlinear strain and source terms, Journal of Mathematical Analysis and Applications,331 (2007) 585–607.
[65] 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.

荣誉
2010.10．“研究生教育优秀工程”迎评促建优秀个人
2010.12．2009-2010年度优秀班主任
2011.04．2010年教师课堂授课评价优秀教师三等奖
2011.09．2010-2011学年度“十佳优秀班主任”
2013.01．2012年度中国科技在线优秀评审专家
2013.03．2013年度黑龙江省高等教育教学成果二等奖
2013.04．2012年度本科优秀主讲教师三等奖
2013.04．研究生优秀授课教师二等奖
2013.04．2013年哈尔滨工程大学教学成果一等奖
2016.07．哈尔滨工程大学“十二五”科技工作先进个人

奖励
2009.06．第11届黑龙江省自然科学技术学术成果二等奖　
2010.04．黑龙江省高校科学技术一等奖
2010.09．黑龙江省科学技术三等奖
2010.10．哈尔滨市自然科学技术学术成果二等奖
2015.02．黑龙江省高校科学技术一等奖
2016.08．首届黑龙江省数学会优秀青年学术奖
2017.03．Acta Mathematica Scientia2016年度优秀论文
2017.02．黑龙江省高校科学技术一等奖
2017.10．黑龙江科学技术二等奖



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