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張敏
(中國石油大學(華東)理學院副教授)
鎖定
張敏,中國石油大學(華東)理學院副教授,博士,應用數學系碩導。
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- 中文名
- 張敏
- 畢業院校
- 山東大學
- 學位/學歷
- 博士
- 職 業
- 教師
張敏研究方向
1.微分方程與動力系統
張敏學習與工作經歷
2000.9-2004.7,石油大學(華東),理學學士;
2006.9-2011.6,山東大學,理學博士;
2011.7-2022.12,中國石油大學(華東),應用數學系,講師;
張敏主講課程
1.主講本科生《概率論與數理統計》《線性代數》《泛函分析》等課程
張敏指導研究生
張敏承擔和參與項目
1.近年來,主持的代表性科研項目:
(1)具有高階非線性項的二維薛定諤方程的擬週期解,國家自然科學基金,2018-2020。
(2)帶擬週期強迫項的非線性薛定諤方程的擬週期解及KAM理論,國家自然科學基金,2014。
(3)非線性項含有空間導數的二維梁方程的 KAM理論,山東省自然科學基金,2023-2025。
(4)具有時間強迫及空間變量的薛定諤方程的KAM理論,山東省自然科學基金,2016-2019。
(5)高維非線性波動方程的KAM理論,中央高校基本科研業務費專項資金項目,2014-2015。
(6)具有時間強迫和高階非線性項的薛定諤方程的擬週期解,中央高校基本科研業務費專項資金項目,2019-2021。
張敏獲獎情況
(1)指導學生獲全國數學建模競賽國家級一等獎、山東省一等獎、山東省二等獎、山東省三等獎;
張敏論文
1.第一作者主要論文:
(1)M. Zhang, J. Si, KAM tori for the two-dimensional completely resonant Schrödinger equation with the general nonlinearity, Journal de Mathématiques Pures et Appliquées, 2023, 170: 150-230
(2)M. Zhang, J. Si, Construction of quasi-periodic solutions for the quintic Schrödinger equation on the two-dimensional torus T2, Trans. Amer. Math. Soc., 2021, 374: 4711–4780
(3)M. Zhang, Y. Wang, J. Rui, Quasi-periodic solutions for one dimensional Schrödinger equation with quasi-periodic forcing and Dirichlet boundary condition,Journal of Mathematical Physics,2023,64, 011509
(4)M. Zhang, J. Rui, Y. Li, J. Zhang, KAM tori for a two dimensional beam equation with a quintic nonlinear term and quasi-periodic forcing, Qualitative Theory of Dynamical Systems, 2022, 21,154
(5)M. Zhang, Y. Wang, Y. Li, Reducibility and quasi-periodic solutions for a two dimensional beam equation with quasi-periodic in time potential, AIMS Mathematics, 2021,6(1), 643–674
(6)M. Zhang , Z. Hu, Y. Chen, Invariant tori for a two-dimensional completely resonant beam equation with a quintic nonlinear term, Journal of Function Spaces, 2022, 2022, 7106366
(7)M. Zhang , Y. Chen, Z. Hu, KAM tori for a two-dimensional Boussinesq equation with quasi-periodic forcing, Journal of Nonlinear Functional Analysis, 2021, 2021,32
(8)M. Zhang, X. Wang, Z. Hu, Invariant tori for the quintic Schrödinger equation with quasi-periodic forcing on the two-dimensional torus under periodic boundary conditions, Journal of Nonlinear Functional Analysis, 2022, 2022, 12
(9)M. Zhang, Quasi-periodic solutions of two dimensional Schrödinger equations with Quasi-periodic forcing, Nonlinear Analysis: Theory, Method & Applications, 2016,135: 1-34.
(10)M. Zhang, -solutions for the Second Type of Generalized Feigenbaum's Functional Equations, Acta Mathematica Sinica-English Series, 2014, 30(10): 1785-1794.
(11)M. Zhang, Jianguo Si, Solutions for the -order Feigenbaum’s functional eqution, Annales Polonici Mathematici, 2014, 111(2): 183-195.
(12)M. Zhang, SINGLE-VALLEY-EXTENDED CONTINUOUS SOLUTIONS FOR THE FEIGENBAUM’S FUNCTIONAL EQUATION , Demonstratio Mathematica, 2014, 47(3): 615-626.
(13)張敏,司建國,一類推廣後的Feigenbaum 函數方程的光滑解, 中國科學(A), 2011, 4(11):981-990.
(14)M. Zhang, J. Si,Quasi-periodic solutions of nonlinear wave equations with quasi-periodic forcing, Physica D, 2009, 238:2185-2215.
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張敏學術兼職
- 參考資料
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- 1. 張敏(副教授) .中國石油大學(華東)理學院[引用日期2023-07-22]