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Zhang, Jing ( 张 静 ) 
Title: Associate Professor
Department: Applied Mathematics
Office: Room 320, Math Building
Telephone: 54342646-320
Email: jzhang@math.ecnu.edu.cn
Homepage: http://math.ecnu.edu.cn/~jzhang
Homepage2: https://faculty.ecnu.edu.cn/_s42/zj2/main.psp
Research Interest
Differential equation and Dynamical system
Resume
Resume

Resume:

Selected Publications
Papers:
[1] Jing Zhang, On lower dimensional invariant tori in C^d reversible system, Chinese Annals of Mathematic Series B, Volume 29, Number 5, 459-486, 2008.
[2] Jing Zhang, Meina Gao and Xiaoping Yuan, KAM tori for reversible partial differential equations, Nonlinearity, 2011.
[3] Meina Gao and Jing Zhang, Small-divisor equation of higher order with large variable coefficient and application to the coupled KdV equation, Acta Mathematica Sinica, 27 (6), 2011.

Books:
Recent Publications(From MathSciNet)
MR4952510 Reviewed Yang, Xue; Liu, Jieyu; Zhang, Jing A Nekhoroshev type theorem for the fractional nonlinear Schrödinger equation. J. Appl. Anal. Comput. 15 (2025), no. 6, 3317–3344. 35B35 (35G30 35R11 37J40)
Publication Year 2025 Indexed 2025-10-14 Review Published2025-10-22
MR4917080 Reviewed Hu, Shengqing; Zhang, Jing Long time stability of Hamiltonian derivative nonlinear Schrödinger equations without potential. Arch. Ration. Mech. Anal. 249 (2025), no. 4, Paper No. 41, 79 pp. 35Q55 (37J40 70H05)
Publication Year 2025 Indexed 2025-07-31 Review Published2025-08-18
MR4914438 Reviewed Liu, Jieyu; Zhang, Jing Invariant tori for the fractional nonlinear Schrödinger equation with nonlinearity periodically depending on spatial variable. Fract. Calc. Appl. Anal. 28 (2025), no. 3, 1564–1610. 37K55 (35B15 35Q55 35R11 37J40)
Publication Year 2025 Indexed 2025-08-01 Review Published2026-03-20
MR4852485 Reviewed Hu, Shengqing; Zhang, Jing Periodic solutions and KAM invariant tori in the Nosé-Hoover system. (Chinese) Acta Math. Sinica (Chinese Ser.) 68 (2025), no. 1, 99–112. (Reviewer: Xiong Li) 37J40 (34C25 34C29 70H05 70H08)
Publication Year 2025 Indexed 2025-03-18 Review Published2025-06-09
MR4832116 Reviewed Yang, Xue; Zhang, Jing; Liu, Jieyu Long time stability of fractional nonlinear Schrödinger equations. J. Math. Anal. Appl. 544 (2025), no. 1, Paper No. 129035, 46 pp. (Reviewer: Sevdzhan Ahmedov Hakkaev) 35Q55 (35B35 35R11)
Publication Year 2025 Indexed 2025-02-10 Review Published2025-06-24
MR4714539 Reviewed Hu, Shengqing; Zhang, Jing Response solutions for finite smooth harmonic oscillators with quasi-periodic forcing. Discrete Contin. Dyn. Syst. 44 (2024), no. 5, 1267–1286. (Reviewer: Sylvia Novo) 34C27 (37J40 70K43)
Publication Year 2024 Indexed 2024-05-01 Review Published2025-03-03
MR4711184 Reviewed Liu, Jieyu; Zhang, Jing The quasi-periodic solution of fractional nonlinear Schrödinger equation on tori. Phys. D 461 (2024), Paper No. 134102, 9 pp. 35Q55 (35R11)
Publication Year 2024 Indexed 2024-05-07 Review Published2024-12-09
MR4458758 Reviewed Hu, Shengqing; Zhang, Jing Almost periodic solutions in forced harmonic oscillators with infinite frequencies. Qual. Theory Dyn. Syst. 21 (2022), no. 4, Paper No. 105, 28 pp. (Reviewer: Sylvia Novo) 34C27 (37J40)
Publication Year 2022 Indexed 2022-10-03 Review Published2023-04-28
MR4327538 Reviewed Zhang, Jing; Zhu, Shengfeng; Liu, Chunxiao; Shen, Xiaoqin A two-grid binary level set method for eigenvalue optimization. J. Sci. Comput. 89 (2021), no. 3, Paper No. 57, 21 pp. (Reviewer: Bülent Karasözen) 65N25 (65N55)
Publication Year 2021 Indexed 2021-12-01 Review Published2022-03-11
MR4126856 Reviewed Zhang, Jing Almost global solutions to Hamiltonian derivative nonlinear Schrödinger equations on the circle. J. Dynam. Differential Equations 32 (2020), no. 3, 1401–1455. (Reviewer: Emanuele Haus) 37K55 (35Q55 37J40)
Publication Year 2020 Indexed 2020-09-18 Review Published2021-09-13
MR3717872 Reviewed Zhang, J.; Huang, J.; Wu, X. Bayesian ratemaking under Dirichlet process mixtures. Comm. Statist. Theory Methods 46 (2017), no. 22, 11327–11340. 62F15 (60J22 62G99 62P05 91B30)
Publication Year 2017 Indexed 2018-01-25 Review Published2018-02-16
MR3461610 Reviewed Yuan, Xiaoping; Zhang, Jing Averaging principle for the KdV equation with a small initial value. Nonlinearity 29 (2016), no. 2, 603–656. (Reviewer: W.-H. Steeb) 37K55 (35B05 35B10 35Q53 37J40)
Publication Year 2016 Indexed 2016-05-12 Review Published2016-11-30
MR3262600 Reviewed Yuan, Xiaoping; Zhang, Jing Long time stability of Hamiltonian partial differential equations. SIAM J. Math. Anal. 46 (2014), no. 5, 3176–3222. (Reviewer: W.-H. Steeb) 37J40 (35B35 35Q55)
Publication Year 2014 Indexed 2014-11-10 Review Published2015-03-11
MR3186484 Reviewed Guo, Victor J. W.; Zhang, Jing Combinatorial proofs of a kind of binomial and $q$-binomial coefficient identities. Ars Combin. 113 (2014), 415–428. 11B65 (05A10 05A30)
Review PDF Clipboard Journal Article 3 Citations
Publication Year 2014 Indexed 2014-05-29 Review Published2014-08-25
MR2835222 Reviewed Gao, Mei Na; Zhang, Jing Small-divisor equation of higher order with large variable coefficient and application to the coupled KdV equation. Acta Math. Sin. (Engl. Ser.) 27 (2011), no. 10, 2005–2032. (Reviewer: Mikhail B. Sevryuk) 37K55 (35B10 35Q53)
Publication Year 2011 Indexed 2012-01-30 Review Published2012-05-12
MR2776117 Reviewed Zhang, Jing; Gao, Meina; Yuan, Xiaoping KAM tori for reversible partial differential equations. Nonlinearity 24 (2011), no. 4, 1189–1228. (Reviewer: Mikhail B. Sevryuk) 37K55 (35B15 35Q55)
Publication Year 2011 Indexed 2011-07-01 Review Published2012-01-25
MR2656032 Reviewed Guégan, D.; Zhang, J. Change analysis of a dynamic copula for measuring dependence in multivariate financial data. Quant. Finance 10 (2010), no. 4, 421–430. (Reviewer: Piotr Jaworski) 91G70 (62H05 62M09 91B30 91B84)
Publication Year 2010 Indexed 2010-08-17 Review Published2011-05-25
MR2468805 Indexed Zhang, Jing; Dominique, Guégan; Chai, Jun Bivariate option pricing with GARCH-NIG model and dynamic copula. J. East China Norm. Univ. Natur. Sci. Ed. 2008, no. 5, 17–26, 44. 91B84 (91B28)
Publication Year 2008 Indexed 2009-03-03
MR2447481 Reviewed Zhang, Jing On lower dimensional invariant tori in $C^d$ reversible systems. Chinese Ann. Math. Ser. B 29 (2008), no. 5, 459–486. (Reviewer: Mikhail B. Sevryuk) 37J40 (34C14 37C80 41A35 70K43)
Publication Year 2008 Indexed 2008-12-12 Review Published2009-10-15
MR2435379 Reviewed Zhang, J.; Guégan, D. Pricing bivariate option under GARCH processes with time-varying copula. Insurance Math. Econom. 42 (2008), no. 3, 1095–1103. (Reviewer: Piotr Jaworski) 91B30 (60G42 62H05 62M10 91B28)
Publication Year 2008 Indexed 2008-10-02 Review Published2009-01-05

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