徐润章
徐润章,哈尔滨工程大学北京大学数学科学学院教授,博士生导师。“龙江学者”青年学者;美国数学学会(美国数学学会)会员;美国数学评论(MR)评论员;黑龙江省数学会常务理事;黑龙江省青年学术骨干。
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
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
招生信息
每年可招收博士生2名,研究生4名,博士后2名
科研项目
主持,参与,完成4项国家自然科学基金项目;主持1项博士点基金项目;1项博士后基金一等资助;2项中央高校基础科研业务费资助项;2项哈尔滨工程大学基础研究基金项目;1项哈尔滨工程大学培育基金项目(哈尔滨工程大学FP05032),2项黑龙江省自然科学基金项目;一项哈尔滨工程大学2005年度创新项目;1项2009年度黑龙江省教育厅科学技术研究面上项目。
科研项目列表:
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
2014 第一批博士后国际交流计划派出项目资助
2014 第一批博士后国际交流计划学术交流项目资助
2015.1-2018.12 国家自然科学基金
荣誉称号
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
2013.04.2012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
2016.07.哈尔滨工程大学“十二五”科技工作先进个人
2019.10. 黑龙江省龙江学者-青年学者
获奖情况
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
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.黑龙江省科学技术二等奖
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。北京市:科学出版社.2017.
2XU Chuang, Xu Runzhang, Sharp criterion of global existence for a class of nonlinear Schrodinger equation with critical exponent, Nonlinear Performance and Characterization Methods in Optics Nonlinearity Systems: New Research, Nova Science Publishers, New York, 2013.
3.贾念念,施久玉。概率论与数理统计,哈尔滨市:哈尔滨工程大学出版社,2012.3.(徐润章参编,第七章)
4.Xu Runzhang, Zhang Wenying, Wu Weining. Wave equations and reaction-diffusion equations with two nonlinear source terms of different sign. 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.
5.刘亚成, 徐润章. Sobolev空间及其在偏微分方程中的应用, 哈尔滨市: 黑龙江科学技术出版社, 2008.6.
学术活动
近年来,徐润章教授多次访问美国格鲁吉亚大学、普林斯顿大学、卡普顿大学等,并多次在重要国际会议上做专题报告。
• 2007年4月16日到4月19日参加在美国佐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.做专题报告30分钟,发表会议论文2篇。
• 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)。
• 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.
• 2012 应邀参加International Conference on Nonlinear evolutionary Partial Differential Equation- Theories and Applications并做大会报告。
• 2013年应邀担任The Sixth IMACS International Conference on Nonlinear Evolution Equations and Wave Ph布莱恩·伊诺mena: Computation and Theory分会主席并做分组报告.
• 2013年应邀参加2013 CMS (The Canadian Mathematical Society) Summer Meeting并做分组报告。
• 2013年应邀参加The Sixth International Congress of Chinese Mathematicians并做分组报告.
• 2014年应邀参加The 10th AIMS conference on Dynamical Systems, Differential Equations and Applications并做分组报告.
• 2014年应邀参加International Congress of Mathematicians 2014并做分组报告 .
发表论文
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.
Shaohua Chen, Yurij Salmaniw, Runzhang Xu, Global Existence for a Singular Gierer-Meinhardt System, Journal of Differential Equations, 262 (2017) 2940–2960.
Runzhang Xu, Yi Niu, Addendum to “Global existence and finite 时间 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.
Sumit Kumar Vishwakarma, Runzhang Xu, Rayleigh wave dispersion in an irregular sandy 地球's crust over orthotropic mantle, Applied Mathematical Modelling, 40 (2016) 8647–8659.
S. K. Vishwakarma , Runzhang Xu, G-type dispersion equation under suppressed rigid boundary: analytic approach, Applied 数学 and Mechanics, 4(2016)501-512.
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.
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.
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.
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 数学 J. Chinese Univ., 4(2016)389-408.
Xu Runzhang, Wang Xingchang, Xu Huichao, Zhang Mingyou,Arbitrary 能量 global existence for wave equation with combined 功率type nonlinearities of different signs, Boundary Value Problems, 2016(2016):214
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)
Chen Shaohua and Xu Runzhang. Large 时间 behavior of solutions to degenerate parabolic equations, Nonlinear Differential Equations and Applications NoDEA, 2015, 22 : 301-309(JCR2区,IF:0.897)
Xu Runzhang, Wang Xuemei, Niu Yi, Zhang Mingyou and Liu Jie. Sharp criterion of global existence for a class of nonlinear Schrodinger equations with critical exponent, 数学 and Computers in Simulation, 2015, 107: 46-51. (JCR2区,IF:0.949)
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)
Xu Runzhang, Su Jia, Global existence and finite 时间 blow-up for a class of semilinear pseudo-parabolic equations, Journal Functional Analysis, 2013, 264: 2732-2763.
Xu Runzhang, Xu 壮语 Sharp conditions of global existence for second-order derivative nonlinear Schrodinger equations with combined 功率-type nonlinearities, ZAMM- Z. Angew. 数学 Mech, 2013,93(1):29-37.
Xu Runzhang, Liu Jie, Niu Yi, Chen Shaohua, AGB星 behaviour of solution for multidimensional viscoelasticity equation with nonlinear source term, Boundary Value Problems 2013, 2013:42 .
Shen Jihong, Yang Yanbing, Chen Shaohua, Xu Runzhang. Finite 时间 blow up of fourth order wave equations with nonlinear strain and source terms at high 能量 level, International Journal of 数学, 24(5)(2013)1350084-1-8.
Xu Runzhang, Ding Yunhua. Global solutions and finite 时间 blow up for damped Klein-Gordon equation, Acta Matematica Scientia, 2013,33B(3):643-652.
Xu Runzhang, Yang Yanbing, Global existence and AGB星 behaviour of solutions for a class of fourth order strongly damped nonlinear wave equations, Quarterly of Applied 数学, 2013,52(3):401-415.
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.
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 数学 Journal- ANZIAM Journal, 2013, 54;153-170.
Xu Runzhang, Xu Chuang, Cross-constrained problems for nonlinear Schrodinger equation with harmonic potential,Electronic Journal of Differential Equations,2012,2012(211):1-12.
Xu Runzhang, Jiang Xiaoli, Liu Jie, Uniform blow-up rate for a compressible reactive gas model, Applied 数学 and Mechanics(English Edition), 2012,33(1):129-138.
Xu Runzhang, Cao Xiuying, Yu Tao, Finite 时间 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.
Xu Runzhang, Jin Chunyan, Yu Tao, Liu Yacheng, On quenching for some parabolic problems with combined 功率type nonlinearities, Nonlinear Analysis Series B: Real World Applications, 13(2012)333-339.
Xu Runzhang, Liu Yacheng, Ill-posedness of nonlinear parabolic equation with critical initial condition, 数学 and Computers in Simulation 82(2012) 1363-1374.
Xu Runzhang, Yang Yanbing, Finite 时间 blow up for the nonlinear fourth-order dispersive-dissipative wave equation at high energy level, International Journal of 数学, 23(5)(2012)1250060-1-10.
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.
Jiang Xiaoli, Yang Yanbing, Xu Runzhang, Family potential wells and its applications to NLS with harmonic potential, Applied 数学 \u0026 Information Sciences, 6(1S)(2012) 155S-165S.
Xu Runzhang, Xu 壮语, Liu Yang, Yu Tao. Well-posedness of nonlinear wave equation with combined 功率type nonlinearities, Mathematical Methods in the Applied Sciences, 2011,34(8)869-895.
Xu Runzhang, Liu Yacheng, Liu Bowei. The Cauchy problem for a class of multidimensional Boussinesq type equation, Nonlinear Analysis: Theory, Methods \u0026 Applications,2011,74(6)2425-2437.
Xu Runzhang, Cauchy problem of generalized Boussinesq equation with combined 功率-type nonlinearities, Mathematical Methods in the Applied Sciences, 2011,34(18)2318-2328
Xu Runzhang. Global existence, blow up and AGB星 behaviour of solutions for nonlinear Klein-Gordon equation with dissipative term, Mathematical Methods in Applied Science, 2010, 33, 831–844.
Xu Runzhang, Initial boundary value problem of semilinear hyperbolic equations and parabolic equations with critical initial data, Quarterly of Applied 数学,2010,LXVIII(3):459–468.
Xu Runzhang,Xu 壮语 Nonlinear Schrodinger equation with combined 功率type nonlinearities and harmonic potential, Applied Mathematics and Mechanics(English Edition), 31(4), 521-528 (2010)
Xu Runzhang, Liu Yacheng, Global existence and blow-up of solutions for generalized Pochhammer-Chree equations, Acta Mathematica Scientia, 2010,30B(5):1793–1807
Xu Runzhang, Yu Tao. Remarks on wave equations involving two opposite nonlinear source terms. Journal of Applied 数学 and Computing, 2009,29(1-2):15-18.
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.
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, 南阿拉巴马大学 March 23-26, 2009.
Liu Yacheng, Xu Runzhang. Local well posedness of Cauchy problem for viscous diffusion equations,International Journal of 数学, 2009,20(4):509-519.
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.
Runzhang Xu, Yacheng Liu, Tao Yu, Global existence of solution for Cauchy problem of multidimensional generalized double dispersion equations, Nonlinear Analysis: Theory, Methods \u0026 Applications, 2009,71(10) :4977-4983.
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.
Xu Runzhang, Wu Weining. Varitional method to evolution equation with combined power-type. XVI International Congress on Mathematical Physics, Prague, August 3-8, 2009.
Yu Tao, Tang Liqiang, Xu Runzhang. Qualitative analysis of a nonlinear viscous diffusion equation, Nonlinear Analysis: Theory, Methods \u0026 Applications,2009,71:10591064.
Xu Runzhang, Shen Jihong. Some generalized results for global well-poseness for wave equations with damping and source terms, 数学 and Computers in Simulation, 80(2009):804-807.
Xu Runzhang. AGB星 behavior and blow up of solutions for semilinear parabolic equations at critical 能量 level, Mathematics and Computers in Simulation, 80(2009):808-813.
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.
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.
Xu Runzhang, Zhao Xiren, Shen Jihong. AGB星 behavior of solutions for the fourth order wave equation with dispersive and dissipative terms[J]. Applied 数学 and Mechanics(English Edition), 2008,29(2):259-262.
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
Liu Yacheng, Xu Runzhang,Yu Tao. Global existence, nonexistence and AGB星 behavior of solutions for Cauchy problem of semilinear heat equations, Nonlinear Analysis-Theory Methods and Applications,2008,68(11):3332-3348. 2008.6.11
Xu Runzhang, Liu Yacheng. Remarks on nonlinear Schrodinger equation with harmonic potential. Journal of Mathematical Physics, 2008, 49(4),: 043512-043512-5.
R. Xu,Y. Liu. Remarks on nonlinear Schrodinger equation with harmonic potential. J. 数学 Phys. 49, 043512 (2008) 2008-4
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.
Xu Runzhang, Liu Yacheng. AGB星 behavior of solutions for initial boundary value problem of strongly damped nonlinear wave equations[J]. Nonlinear Analysis Series A: Theory, Methods \u0026 Applications, 2008, 69(8): 2492-2495. 2008-10-15
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
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)
XU Runzhang. AGB星 behavior and blow up of solutions for the viscous diffusion equation, Applied Mathematical Letters.20 (2007) 255-259.
Liu Yacheng, Xu Runzhang, Fourth order wave equations with nonlinear strain and source terms, Journal of Mathematical Analysis and Applications,331 (2007) 585–607.
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.
参考资料
徐润章-哈尔滨工程大学教师个人主页.哈尔滨工程大学.2021-10-05