哈爾濱工程大學理學院數學研究中心教授，博士，博士生導師。美國數學會(AMS)會員，美國數學評論(MR)評論員，黑龍江省數學會常務理事，國際數學物理聯合會會員，中國科技論文線上特聘評審專家，《哈爾濱工程大學學報》編委，《數學研究期刊》編委，SCI檢索JCR1區雜誌Applied Numerical Mathematics編委。著名期刊Nonlinear Analysis, Applied Mathematical Letters, Journal of Mathematical Analysis and Application, Acta Mathematica Sinica，Acta Mathematicae Applicatae Sinic，Applied Mathematics and Mechanics, Journal of Partial Differential Equations, Applications and Applied Mathematics, Scientific Research and Essays，Journal of Mechanical Engineering Research，數學學報，套用數學學報，數學進展，大學數學，蘭州大學學報，上海交通大學學報等的審稿人。The Tenth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory學術委員會委員（Scientific Program Committee）。第十四屆，第十五屆非線性偏微分方程暑期講習班暨學術會議組織委員會委員。
基本介紹
- 中文名：徐潤章
- 外文名：Xu Runzhang
- 國籍：中國
- 民族：漢族
- 畢業院校：哈爾濱工程大學
- 職稱：教授
研究方向,講授課程,招生信息,科研項目,榮譽獎勵,出版著作,學術活動,發表論文,
研究方向
講授課程
- 本科：數學物理方程； 機率論與數理統計； 專業英語
- 研究生：系統科學概論； 非線性動力系統； 偏微分方程中的泛函分析方法； 非線性發展方程
招生信息
每年可招收博士生2名，研究生4名，博士後2名
科研項目
主持，參與，完成4項國家自然科學基金項目；主持1項博士點基金項目；1項博士後基金一等資助；2項中央高校基礎科研業務費資助項;2項哈爾濱工程大學基礎研究基金項目；1項哈爾濱工程大學培育基金項目（HEUFP05032），2項黑龍江省自然科學基金項目；一項哈爾濱工程大學2005年度創新項目；1項2009年度黑龍江省教育廳科學技術研究面上項目。
科研項目列表：
2005.1-2007.12 黑龍江省教育廳科研項目
2005.1-2006.12 哈爾濱工程大學基礎研究基金項目
2007.12-2009.12 黑龍江省自然科學基金項目
2009.1-2011.1 哈爾濱工程大學基礎研究基金項目（引進人才）
2009.1-2010.12 黑龍江省自然科學基金項目
2009.1-2011.12 國家自然科學基金
2009.1-2010.12 黑龍江省教育廳科學技術研究面上項目
2010.1-2010.12 國家自然科學基金
2010.1-2010.12 中央高校基本科研業務費專項資金自由探索計畫
2011.1-2012.1 高等學校博士學科點專項科研基金
2012.1-2014.12 國家自然科學基金
2012.1-2013.6 黑龍江省教育廳科學技術研究項目
2014 第一批博士後國際交流計畫派出項目資助
2014 第一批博士後國際交流計畫學術交流項目資助
2015.1-2018.12 國家自然科學基金
榮譽獎勵
2009.6.17，第11屆黑龍江省自然科學技術學術成果二等獎
2010.10，哈爾濱市自然科學技術學術成果二等獎
2010.4.9 ，黑龍江省高校科學技術一等獎
2010.9，黑龍江省科學技術三等獎
2010.9，黑龍江省科學技術三等獎
2015.2， 黑龍江省高校科學技術一等獎
出版著作
- 徐潤章,楊延冰.非線性發展方程的初值依賴問題.北京：科學出版社.2017.
- Xu 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.
- 賈念念,施久玉.機率論與數理統計,哈爾濱:哈爾濱工程大學出版社,2012.3.(徐潤章參編,第七章)
- 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.
- 劉亞成, 徐潤章. Sobolev空間及其在偏微分方程中的套用, 哈爾濱: 黑龍江科學技術出版社, 2008.6.
學術活動
近年來，徐潤章教授多次訪問美國喬治亞大學、普林斯頓大學、卡普頓大學等，並多次在重要國際會議上做專題報告。
- 2007年4月16日到4月19日參加在美國喬治亞州喬治亞大學召開的The Fifth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory.做專題報告30分鐘，發表會議論文2篇。
- 2007年12月17日到22日參加在杭州召開的“The Fourth International Congress of Chinese Mathematicians”（第四屆華人數學家大會，做分會報告，發表會議論文3篇）。
- 2009年應邀擔任The Sixth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory分會主席.
- 2012 應邀參加International Conference on Nonlinear Evolutionary Partial Differential Equation- Theories and Applications並做大會報告。
- 2013年應邀擔任The Sixth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory分會主席並做分組報告.
- 2013年應邀參加2013 CMS (The Canadian Mathematical Society) Summer Meeting並做分組報告。
- 2013年應邀參加The Sixth International Congress of Chinese Mathematicians並做分組報告.
- 2014年應邀參加The 10th AIMS conference on Dynamical Systems, Differential Equations and Applications並做分組報告.
- 2014年應邀參加International Congress of Mathematicians 2014並做分組報告.
發表論文
[1] 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.
[2] Shaohua Chen, Yurij Salmaniw, Runzhang Xu, Global Existence for a Singular Gierer-Meinhardt System, Journal of Differential Equations, 262 (2017) 2940–2960.
[3] 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.
[4] 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.
[5] S. K. Vishwakarma , Runzhang Xu, G-type dispersion equation under suppressed rigid boundary: analytic approach, Applied Mathematics and Mechanics, 4(2016)501-512.
[6] 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.
[7] 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.
[8] 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.
[9] 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.
[10] 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
[11] 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區,IF：1.109)
[12] 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區，IF:0.897）
[13] 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, Mathematics and Computers in Simulation, 2015, 107: 46-51. （JCR2區，IF:0.949）
[14] 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區，IF:0.918）
[15] 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.
[16] 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.
[17] 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 .
[18] 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)1350084-1-8.
[19] Xu Runzhang, Ding Yunhua. Global solutions and finite time blow up for damped Klein-Gordon equation, Acta Matematica Scientia, 2013,33B(3):643-652.
[20] 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.
[21] 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.
[22] 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.
[23] Xu Runzhang, Xu Chuang, Cross-constrained problems for nonlinear Schrodinger equation with harmonic potential，Electronic Journal of Differential Equations，2012,2012(211):1-12.
[24] 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.
[25] 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.
[26] 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.
[27] Xu Runzhang, Liu Yacheng, Ill-posedness of nonlinear parabolic equation with critical initial condition, Mathematics and Computers in Simulation 82(2012) 1363-1374.
[28] 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.
[29] 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.
[30] 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.
[31] 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.
[32] 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.
[33] Xu Runzhang, Cauchy problem of generalized Boussinesq equation with combined power-type nonlinearities, Mathematical Methods in the Applied Sciences, 2011,34(18)2318-2328
[34] 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.
[35] 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.
[36] 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)
[37] Xu Runzhang, Liu Yacheng, Global existence and blow-up of solutions for generalized Pochhammer-Chree equations, Acta Mathematica Scientia, 2010,30B(5):1793–1807
[30] 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.
[39] 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.
[40] 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.
[41] Liu Yacheng, Xu Runzhang. Local well posedness of Cauchy problem for viscous diffusion equations，International Journal of Mathematics, 2009,20(4):509-519.
[42] 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.
[43] 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.
[44] 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.
[45] Xu Runzhang, Wu Weining. Varitional method to evolution equation with combined power-type. XVI International Congress on Mathematical Physics, Prague, August 3-8, 2009.
[46] Yu Tao, Tang Liqiang, Xu Runzhang. Qualitative analysis of a nonlinear viscous diffusion equation, Nonlinear Analysis: Theory, Methods & Applications,2009，71：1059-1064.
[47] 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.
[48] 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.
[49] 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.
[50] 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.
[51] 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.
[52] 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
[53] 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 and Applications，2008，68(11)：3332-3348. 2008.6.11
[54] Xu Runzhang, Liu Yacheng. Remarks on nonlinear Schrodinger equation with harmonic potential. Journal of Mathematical Physics, 2008, 49(4),: 043512-043512-5.
[55]R. Xu,Y. Liu. Remarks on nonlinear Schrodinger equation with harmonic potential. J. Math. Phys. 49, 043512 (2008) 2008-4
[56] 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.
[57] 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
[58] 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
[59] 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）
[60] XU Runzhang. Asymptotic behavior and blow up of solutions for the viscous diffusion equation, Applied Mathematical Letters.20 (2007) 255-259.
[61] Liu Yacheng, Xu Runzhang, Fourth order wave equations with nonlinear strain and source terms, Journal of Mathematical Analysis and Applications,331 (2007) 585–607.
[62] 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.
