教授
马满军
  • 所属院校:
    浙江理工大学
  • 所属院系:
    理学院
  • 研究领域:
    微分方程与动力系统理论及应用。
  • 职称:
    教授
  • 导师类型:
    --
  • 招生专业:
    数学
个人简介

个人简述:

教授,博士,硕士生导师,美国《数学评论》评论员;1989年于湖南师范大学获得数学专业学士学位;分别于1999年与2005年在湖南大学获得应用数学专业硕士、博士学位。美国圣地亚哥州立大学非线性动力系统中心访问学者;自2008年以来,多次应邀访问加拿大纪念大学、香港理工大学,进行合作研究。主要从事微分方程存在性与稳定性理论及动力系统非线性波理论的研究,并且利用相关理论研究Bose-Einstein凝聚体中孤立子、生物生态学、化学等背景学科领域数学模型的动力学性质。


科研工作:

代表性科研论文:

[30]Manjun Ma, Zian Wang,Patterns in a generalized volume-filling chemotaxismodel with cell proliferation, Analysis and Applications,15(1) 83-106 (2017).

[29] Manjun Ma, Chunhua Ou and Xiaoqiang Zhao, Persistence of Periodic Patterns for Perturbed Biological Oscillators, J. Differential Equations 247, 2597-2619(2009).

[28]Manjun Ma, Chunhua Ou, and Zhian Wang, Stationary Solutions of a Volume-Filling Chemotaxis Model with Logistic Growth and Their Stability, SIAM Journal on Applied Mathematics, 72(3)740-766(2012).

[27]Manjun Ma, Zian Wang, Global bifurcation and stability of steady states for a reaction-diffusion-chemotaxis model with volume-filling effect, Nonlinearity, (28) 2639–2660 (2015).

[26]Manjun Ma, Xiaoqing Zhao, Monostable waves and spreading speed for a reaction-diffusion model with seasonal succession, Discrete and Continuous Dynamical Systems - Series B, 21(1) 591-606 (2016).

[25]Manjun Ma,Ricardo Carretero,P.G.Kevrekidis,D. J. Frantzeskakis,and B. A. Malomed, Controlling the transverse instability of dark solitons and nucleation of vortices bya potential barrier, Physical Review A ( 82) 023621 (2010).

[24] Manjun Ma, R. Navarro, and R. Carretero-González, Solitons riding on solitons and the quantum Newton's cradle, Physical Review E 93, 022202 (2016).

[23]Manjun Ma,Chunhua Ou, Asymptotic analysis of the perturbed Poisson Boltzmann equation on unbounded domains, Asymptotic Analysis (91) 125–146 (2015) .

[22]Manjun Ma, Meiyan Gao, Yazhou Han, Changqing Tong, Chemotaxis-driven pattern formation for a reaction-diffusion-chemotaxis model with volume-filling effect,Computers and Mathematics with Applications,72(5) 1320-1340 (2016).

[21]Manjun Ma, Hui Li, Meiyan Gao, Jicheng Tao, Yazhou Han, Traveling wavefronts for a reaction-diffusion-chemotaxis model with volume-filling effect, Appl. Math. J. Chinese Univ., 32(1) 108-116 (2017).

[20]Yazhou Han, Zhongfang Li, Jicheng Tao, Manjun Ma*, Pattern formation for a volume-filling chemotaxis model with logistic growth, Journal of Mathematical Analysis and Applications, (448)

885–907 (2017).

[19]Wenlong Wang, P. G. Kevrekidis, R. Carretero-Gonz´alez,D. J. Frantzeskakis, Tasso J. Kaper, and Ma Manjun, Stabilization of ring dark solitons in Bose-Einstein condensates, Physical Review A 003600 (2015).

[18] Manjun Ma, Chi Dang, and Zhe Huang, Analytical expressions for dark soliton solution of a Gross-Pitaevskii equation, Applied Mathematics andComputation, (273) 383–389 (2016).

[17]Yazhou Han, Zhongfang Li, Shutao Zhang, Manjun Ma*,Wavefront invasion for a volume-filling chemotaxis model with logistic growth, Computers and Mathematics with Applications (71) 471-478 (2016).

[16]Manjun Ma, Jiajia Hu, Jicheng Tao, Changqing Tong, Non-existence of stationary pattern of a chemotaxis model with logistic growth, Nonlinear Analysis:Theory, Methods & Applications, (105) 3-9 (2014).

[15] Manjun Ma, Jiajia Hu, Bifurcation and Stability Analysis of Steady States to aBrusselator Model, Applied Mathematics and Computation, (236) 580-592 (2014).

[14]Manjun Ma, Jicheng Tao, Delin Wu, and Yazhou Han,Non-constant steady states for the Lengyel-Epstein system with the CIMA reaction, AppliedMathematics Letters (30) 19–23 (2014).

[13]Manjun Ma, Zhe Huang, Bright soliton solution of a Gross–Pitaevskii equation. Applied Mathematics Letters (26) 718-724 (2013).

[12]Manjun Ma, Jiajia Hu, Junjie Zhang, Jicheng Tao, A reaction-diffusion model with nonlinearity driven diffusion, Appl. Math. J. Chinese Univ. 28(3) 290-302 (2013).

[11]Manjun Ma, Jianchao Hu, Jicheng Tao, Yazhou Han, Food Chain Length of a Ecological Model with Prey-Taxis, Applied Mathematics and Computation, 219(8)4013-4030(2012).

[10] Manjun Ma, Daoming Yang, and Hengsheng Tang, Traveling fronts of theVolume-Filling Chemotaxis model with general kinetics, Applied Mathematics and Computation (216) 3162-3171 (2010).

[9] Manjun Ma, Zhimin Guo, Homoclinic orbits and Subharmonics for second order self-adjoint difference equations. Nonlinear Analysis, Theory, Methods &Applications (67)1737-1745 (2007).

[8] Manjun Ma, Hengsheng Tang, Wei Luo, Periodic solutions for nonlinearsecond-order difference equations. Applied Mathematics and Computation 184(2)685-694 (2007).

[7] Manjun Ma, Zhimin Guo, Homoclinic orbits for second order self-Adjoint difference equations. Journal of Mathematical Analysis and Applications (323)513-521 (2006)

[6]Manjun Ma, Jianshe Yu, Existence of multiple positive periodic solutions for nonlinear functional difference equations.Journal of Mathematical Analysis and Applications 305(2)483-490 (2005).

[5] Manjun Ma, Dominant and recessive solutions for second orderself-adjoint linear difference equations. Applied Mathematics Letters 18(2)179-185 (2005).

[4] Manjun Ma, Jianshe Yu, Global attractivity of x_n+1=(1-α)x_n+βe-γx_n-k, Computers & mathematics with applications, 49(9/10) 1397-1402 (2005).

[3]Hengsheng Tang, Wei Luo, Xu Li, Manjun Ma*, Nontrivial solutions ofdiscrete elliptic boundary value problems, Computers & mathematics with applications 55(8)1854-186 (2008).

[2]Hengsheng Tang, Zhenqiu Zhang, Zhicheng Wang, and Manjun Ma*, Periodicsolutions for a system of the first order nonautonomous differential equations, Computers & Mathematics with Applications (60)1948-1958 (2010).

[1]马满军,胡建超,杨道明,具非线性扩散一般反应系统的行波解存在性,数学物理学报,32(A)(1)113-125(2012).

近年来主持研究的科研项目:

5.2017.01-2020.12 主持国家自然科学基金(11671359):趋化性反应扩散系统的动力学性质及其应用研究。

4.2013.01-2016.12 主持研究国家自然科学基金(11271342):Bose-Einstein凝聚体中暗孤子的横截不稳定性研究。

3.2015.01-2017.12 主持研究浙江省自然科学基金(LY15A010017): 具生化趋向性反应扩散系统的斑图动力学研究

2.2009.01-2011.12 主持研究教育部留学回国人员科研启动基金(教外司留【2009】1341号):非线性动力系统的横截不稳定性。

1.2011.01-2013.12 主持研究浙江省自然科学基金(Y6100166):暗孤立子横截不稳定性的控制及其应用。

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