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:
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:
[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)
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

