CURRICULUM VITAELast name: Xu
First name: Runzhang
Present position: Professor at College of Mathematical Sciences at Harbin Engineering University
Address: College of Mathematical Sciences, Harbin Engineering University, No.145-11, Nantong Street, Nangang District, Harbin 150001, People's Republic of China
Email: xurunzh@163.com;
xurunzh@hrbeu.edu.cnWeb page: homepage.hrbeu.edu.cn/web/xurunzhang
Education:
Ph.D, System Engineering, Harbin Engineering University, China.
M.S., Applied Mathematics, Harbin Engineering University, China.
B.S., Information and Computational Science, Harbin Engineering University, China.
Scientific awards:
- The second prize of the 11th Heilongjiang Province Natural Science and Technology Academic Achievement, 2009.06.
- First Prize of Heilongjiang University Science and Technology Award, 2010.04.
- Third Prize of Heilongjiang Science and Technology Award, 2010.09.
- Second Prize of Harbin Natural Science and Technology Academic Achievement, 2010.10.
- First Prize of Heilongjiang University Science and Technology Award, 2015.02.
- Outstanding Youth Academic Award of the First Heilongjiang Provincial, Mathematical Society 2016.08.
- Acta Mathematica Scientia 2016 Excellent Paper, 2017.03.
- First Prize of Heilongjiang University Science and Technology Award, 2017.02.
- Heilongjiang Science and Technology Second Prize, 2017.10.
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Editorial activities:
Discrete & Continuous Dynamical Systems - S
Advances in Partial Differential Equations
Guest Editor
2020 IF 2.425
Ranking: 47/265 in Mathematics, Applied Q1
https://www.aimsciences.org/journal/1937-1632/DCDSS_Special4
Research Interests:
- Nonlinear evolution equations
- Nonlinear dynamical systems
- Active learning and image processing
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Academic exchange:
Mathematical Conference: The Fifth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory (APR 13, 2007, US,)
Mathematical Conference: The Sixth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory (MAR 17, 2009, US,)
Mathematical and Physical Conference: The Sixteenth International Congress on Mathematical Physics (AUG 2, 2009, Czech,)
The International Conference on Image Processing (ICIP) (SEP 29, 2012, US,)
2013 CMS (The Canadian Mathematical Society) Summer Meeting and visited Cape Breton University (JUN 3, 2013, Canada)
Princeton University (JUN 14, 2013, US)
University of Texas at Arlington (APR 26, 2014, US,)
Southern Korea, International Congress of Mathematicians (AUG 12, 2014)
Spain, The 10th AIMS Conference on Dynamical Systems, Differential Equations, and Applications (JUL 6,2014,)
Mathematical Conference: The Ninth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory (MAR 25, 2015, US)
Harvard University (APR 30, 2015, US)
Leeds University (JUL 12, 2015, UK)
The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications and visit Harvard (JUN 17, 2016, US)
The Institute of Mathematical Sciences, The Chinese University of Hong Kong (Nov 15, 2016)
The Tenth IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory; visit Harvard; attend the 2nd Thermal and Fluids Engineering Conference (TFEC) and 4th International Workshop on Heat Transfer (IWHT) (MAR 28, 2017, US)
University of Pittsburgh, chair of PDE workshop in University of Pittsburgh, (Oct 25,2017, US)
Southern Korea, 9th International Symposium on Natural Sciences, (Nov 11, 2017)
chair of Pittsburgh PDE Workshop (Nov 27, 2018, US)
The Institute of Mathematical Sciences, The Chinese University of Hong Kong (Feb 14, 2019)
The Eleventh IMACS International Conference on Nonlinear Evolution Equations and Wave Phenomena: Computation and Theory (April 16, 2019, US)
Summer Meeting of Canadian Mathematical Society (June 6, 2019, Canada)
Oxford University (Sep 11, 2019, UK)
The Institute of Mathematical Sciences, The Chinese University of Hong Kong (Oct 16, 2019)
Pre-conference of The 10th International Conference on Partial Differential Equations & Numerical Analysis (Organizer Jan 13-14, 2021)
Joint International Webinar of Far Eastern Federal University and Harbin Engineering University (March 24-25, 2021)
International webinar on Contemporary Problems on Mechanics and Vibrations (CPMV-2021), Keynote speaker (May 20-22, 2021)
Publication[1] Robin Ming Chen, Wei Lian, Dehua Wang, Runzhang Xu，A rigidity property for the Novikov equation and the asymptotic stability of peakons, Archive for Rational Mechanics and Analysis, Published: 04 May 2021 https://doi.org/10.1007/s00205-021-01658-z
[2] Xingchang Wang, Runzhang Xu，Global existence and finite time blowup for a nonlocal semilinear pseudo-parabolic equation, Advances in Nonlinear Analysis, 2021,10:261-288.
[3] Jiangbo Han, Runzhang Xu, Yanbing Yang, Asymptotic behavior and finite time blow up for damped fourth order nonlinear evolution equation, Asymptotic Analysis, 2021, 122(3-4): 349-369.
[4] Nguyen Huy Tuan,Vo Van Au,Runzhang Xu, Semilinear Caputo time-fractional pseudo-parabolic equations, Communications on Pure & Applied Analysis, 2021, 20(2):583-621.
[5] Ming Chen, Zhilei Liang, Dehua Wang, Runzhang Xu，Energy equality in compressible fluids with physical boundaries，SIAM Journal on Mathematical Analysis, 2020, 52(2)1363-1385.
[6] Runzhang Xu, Wei Lian, Yi Niu, Global well-posedness of coupled parabolic systems, Science China Mathematics, 2020, 63, 321-356.
[7] Wei Lian, Runzhang Xu, Global well-posedness of nonlinear wave equation with weak and strong damping terms and logarithmic source term, Advances in Nonlinear Analysis, 2020,9(1):613-632.
[8] Yuxuan Chen, Runzhang Xu, Global well-posedness of solutions for fourth order dispersive wave equation with nonlinear weak damping, linear strong damping and logarithmic nonlinearity, Nonlinear Analysis 192 (2020) 111664.
[9] Wei Lian, Md Salik Ahmed, Runzhang Xu, Global existence and blow up of solution for semi-linear hyperbolic equation with the product of logarithmic and power-type nonlinearity, Opuscula Mathematica, 2020, 40(1):111-130.
[10] Longbin Yang, Yazhou Shao, Yitung Chen, Yanjun Li, Fuyuan Song, Yingming Hu, Guolei Zhang, Xiaobin Zhang, Runzhang Xu, Numerical investigation of a burning fuel droplet pair with different spacings and sizes, Combustion Theory and Modelling, 2020,24(1)41–71.
[11] Wei Lian, Jihong Shen, Runzhang Xu, Yanbing Yang, Infinite sharp conditions by Nehari manifolds for nonlinear Schrödinger equations, The Journal of Geometric Analysis, 2020,30:1865-1886.
[12] Qiang Lin, Xueteng Tian, Runzhang Xu, Meina Zhang, Blow up and blow up time for degenerate Kirchho？-type wave problems involving the fractional Laplacian, Discrete and Continuous Dynamical Systems - Series S, 2020,13(7): 2095-2107.
[13] Shaohua Chen, Brittney Melnick, Runzhang Xu, Global existence and blowup solutions for the Gierer-Meinhardt system, Nonlinear Analysis, 192 (2020) 111785.
[14] Wei Lian, Juan Wang, Runzhang Xu, Global existence and blow up of solutions for pseudo-parabolic equation with singular potential，Journal of Differential Equations，2020,269(6): 4914-4959.
[15] Yuxuan Chen, Xiaotong Qiu, Runzhang Xu, Yanbing Yang, Global existence and blowup of solutions for a class of nonlinear wave equations with linear pseudo-differential operator, The European Physical Journal Plus, 135, 573(2020). https://doi.org/10.1140/epjp/s13360-020-00568-5
[16] Runzhang Xu, Yanbing Yang, Low regularity of solutions to the Rotation-Camassa-Holm type equation with the Coriolis effect, Discrete & Continuous Dynamical Systems, 2020,40(11): 6507-6527.
[17] Nguyen Huy Tuan, Vo Van Au, Runzhang Xu*, Renhai Wang, On the initial and terminal value problem for a class of semilinear strongly material damped plate equations, Journal of Mathematical Analysis and Applications, 2020,492(2): 124481
[18] Yazhou Shao, Longbin Yang*, Qun Zhang, Shidong Wang, Kunfang Wang, Runzhang Xu, Numerical simulation on gas production from methane hydrate sediment by depressurization in a reactor with ice formation, Thermal Science and Engineering Progress, 2020, 20, 100680
[19] Yazhou Shao, Longbin Yang*, Qun Zhang, Shidong Wang, Kunfang Wang, Runzhang Xu. Numerical study on gas production from methane hydrate reservoir by depressurization in a reactor, Renewable and Sustainable Energy Reviews Volume 134, December 2020, 110330
[20] Shaohua Chen, Runzhang Xu, Blow-up of positive solutions to a singular Gierer-Meinhardt system, Nonlinear Analysis: Real World Applications, 48(2019)326-336.
[21] Runzhang Xu, Wei Lian, Xiangkun Kong, Yanbing Yang, Fourth order wave equation with nonlinear strain and logarithmic nonlinearity, Applied Numerical Mathematics 141 (2019) 185–205.
[22] Yang Yanbing, Md Salik Ahmed, Qin Lanlan, Xu Runzhang，Global well-posedness of a class of fourth-order strongly damped nonlinear wave equations，Opuscula Math. 39, no. 2 (2019), 297-313.
[23] Yanbing Yang, Runzhang Xu, Nonlinear wave equation with both strongly and weakly damped terms: Supercritical initial energy finite time blow up, Communications on Pure & Applied Analysis, 2019, 18(3): 1351-1358
[24] Siguang Li, Yanjun Li, Longbin Yang, Yitung Chen, Yazhou Shao, Jianrong Sun, Runzhang Xu, Prediction of phase equilibrium of methane hydrate below 272.2 K based on different equations of state, Fluid Phase Equilibria, 2019,490:61-67.
[25] Ning Pan, Patrizia Pucci, Runzhang Xu, Binlin Zhang, Degenerate Kirchhoff-type wave problems involving the fractional Laplacian with nonlinear damping and source terms, Journal of Evolution Equations, 19(2019), no.3, 615-643.
[26] Wei Lian, Md Salik Ahmed, Runzhang Xu, Global existence and blow up of solution for semilinear hyperbolic equation with logarithmic nonlinearity，Nonlinear Analysis, 2019,184:239-257.
[27] Yongcai Geng, Yachun Li, Dehua Wang, Runzhang Xu, Well-posedness of non-isentropic Euler equations with physical vacuum, Interfaces and Free Boundaries, 2019,21:231-266.
[28] Runzhang Xu, Qiang Lin, Shaohua Chen, Guojun Wen, Wei Lian, Difficulties in obtaining finite time blowup for fourth-order semilinear Schrodinger equations in the variational method frame, Electron. J. Differential Equations, Vol. 2019 (2019), No. 83, pp. 1-22.
[29] Xingchang Wang, Yuxuan Chen, Yanbing Yang, Jiaheng Li, Runzhang Xu，Kirchhoff-type system with linear weak damping and logarithmic nonlinearities， Nonlinear Analysis,2019,188:475-499.
[30] Yanbing Yang，Runzhang Xu，Finite time blowup for nonlinear Klein-Gordon equations with arbitrarily positive initial energy, Applied Mathematics Letters, 2018,77:21-26.
[31] Runzhang Xu, Yuxuan Chen, Yanbing Yang, Shaohua Chen, Jihong Shen, Tao Yu, Zhengsheng Xu, Global well-posedness of semilinear hyperbolic equations, parabolic equations and schrodinger equations, Electronic Journal of Differential Equations, Vol. 2018 (2018), No. 55, pp. 1–52.
[32] Xu Runzhang, Wang Xingchang, Yang Yanbing, Blowup and blowup time for a class of semilinear pseudo-parabolic equations with high initial energy, Applied Mathematics Letters, 2018,83:176-181.
[33] Xu Runzhang, Wang, Xingchang, Yang Yanbing, Chen Shaohua, Global solutions and finite time blow-up for fourth order nonlinear damped wave equation, Journal of Mathematical Physics, 2018,56(6):061503.
[34] 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.
[35] Shaohua Chen, Yurij Salmaniw, Runzhang Xu, Global Existence for a Singular Gierer-Meinhardt System, Journal of Differential Equations, 262 (2017) 2940-2960.
[36] Shaohua Chen, Yurij Salmaniw, Runzhang Xu, Bounded solutions to a singular parabolic system, Journal of Mathematical Analysis and Applications, 455(2017)936-978.
[37] 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.
[38] 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
[39] 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.
[40] 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.
[41] S. K. Vishwakarma , Runzhang Xu, G-type dispersion equation under suppressed rigid boundary: analytic approach, Applied Mathematics and Mechanics, 4(2016)501-512.
[42] 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.
[43] 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.
[44] 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.
[45] 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.
[46] 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
[47] 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
[48] Chen Shaohua and Xu Runzhang. Large time behavior of solutions to degenerate parabolic equations, Nonlinear Differential Equations and Applications NoDEA, 2015, 22 : 301-309
[49] Xu Runzhang, Wang Xuemei, Niu Yi, Zhang Mingyou and Liu Jie. Sharp criterion of global existence for a class of nonlinear Schrödinger equations with critical exponent, Mathematics and Computers in Simulation, 2015, 107: 46-51.
[50] 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.
[51] 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.
[52] 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.
[53] 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 .
[54] 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.
[55] Xu Runzhang, Ding Yunhua. Global solutions and finite time blow up for damped Klein-Gordon equation, Acta Matematica Scientia, 2013,33B(3):643-652.
[56] 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.
[57] 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.
[58] 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.
[59] Xu Runzhang, Xu Chuang, Cross-constrained problems for nonlinear Schrodinger equation with harmonic potential，Electronic Journal of Differential Equations，2012,2012(211):1-12.
[60] 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.
[61] 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.
[62] 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.
[63] Xu Runzhang, Liu Yacheng, Ill-posedness of nonlinear parabolic equation with critical initial condition, Mathematics and Computers in Simulation 82(2012) 1363-1374.
[64] 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.
[65] 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.
[66] 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.
[67] 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.
[68] 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.
[69] Xu Runzhang, Cauchy problem of generalized Boussinesq equation with combined power-type nonlinearities, Mathematical Methods in the Applied Sciences, 2011,34(18)2318-2328
[70] 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.
[71] 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.
[72] 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)
[73] Xu Runzhang, Liu Yacheng, Global existence and blow-up of solutions for generalized Pochhammer-Chree equations, Acta Mathematica Scientia, 2010,30B(5):1793–1807
[74] 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.
[75] 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.
[76] 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.
[77] Liu Yacheng, Xu Runzhang. Local well posedness of Cauchy problem for viscous diffusion equations，International Journal of Mathematics, 2009,20(4):509-519.
[78] 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.
[79] 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.
[80] 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.
[81] Xu Runzhang, Wu Weining. Varitional method to evolution equation with combined power-type. XVI International Congress on Mathematical Physics, Prague, August 3-8, 2009.
[82] Yu Tao, Tang Liqiang, Xu Runzhang. Qualitative analysis of a nonlinear viscous diffusion equation, Nonlinear Analysis: Theory, Methods & Applications,2009，71：1059-1064.
[83] 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.
[84] 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.
[85] 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.
[86] 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.
[87] 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.
[88] 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
[89] 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
[90] 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
[91] 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.
[92] 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
[93] 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
[94] 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）
[95] XU Runzhang. Asymptotic behavior and blow up of solutions for the viscous diffusion equation, Applied Mathematical Letters.20 (2007) 255-259.
[96] Liu Yacheng, Xu Runzhang, Fourth order wave equations with nonlinear strain and source terms, Journal of Mathematical Analysis and Applications,331 (2007) 585–607.
[97] 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.
