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应用数学研究室

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基本信息

姓 名: 吴奕飞
英文名: Wu Yifei
职 称: 教授
研究室: 应用数学研究室
研究方向: 偏微分方程数学理论、数值分析和调和分析(交叉研究)
联系方式: [email protected]
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吴奕飞 教授

[email protected]



教育经历

2004.09-2010.06  华南理工大学 女王调教 硕士/博士

2000.09-2004.06  武汉大学 数学与统计*女王调教-女王调教视频-女王 调教小说 本科


工作经历

2024.08-至今    女王调教 女王调教 教授

2016.04-2024.07  天津大学应用数学中心 教授

2013.03-2016.04  北京师范大学 女王调教 讲师

2010.07-2013.03  北京应用物理与计算数学研究所 博士后


研究方向

偏微分方程数学理论、数值分析和调和分析(交叉研究)


学术科研成果

科研项目:

1.国家自然科学基金重大项目,12494544,流体力学方程初边值问题解的动力学研究,1500万,参与。

2.JKW重大专项项目,**,2023/11-2025/11, 135万;

3.国家级重大人才计划,2023年,80万;

4.天津市科技计划项目, 分析学在几何与偏微分方程中的应用,2023/01-2024/12, 50万;

5.国家自然科学基金面上项目, 12171356,关于非线性Schrodinger方程解的整体行为研究, 2022/01-2025/12, 51万;

6.天津大学原创探索项目, 50万, 2022/01-2024/12, 在研, 主持;

7.国家级重大人才计划,2019年,180万,结题,主持;

8.国家自然科学基金面上项目, 11771325, 关于一些非线性色散波方程的长时间性态研究, 2018/01-2021/12, 48万, 结题, 主持;

9.国家自然科学基金数学天元基金“促进学科交叉融合平台建设项目”,11626250,天津应用数学中心平台建设,2017/01-2017/12,100万,结题,参与;

10.国家自然科学基金面上项目, 11571118, 拟线性Schrodinger型方程的适定性和爆破性, 2016/01-2018/12, 59.8万, 结题, 参与;

11.国家自然科学基金青年项目,11101042,几类非线性色散波方程的适定性和散射理论,2012/01-2014/12,22万元,结题、主持;

12.中国博士后基金特别资助, 2012T50068, 几类非线性色散波方程和双流体力学方程的适定性和散射理论, 2012/06-2013/03, 15万, 结题, 主持;

13.中国博士后基金一等资助, 20110490018, 几类非线性色散波方程和双流体力学方程的动力学行为, 2010/07-2012/06, 5万, 结题, 主持。

代表性论文:

1.Jia Shen, Yifei Wu: Scattering for defocusing mass sub-critical NLS, to appear in Memoirs of the AMS, 2025.

2.Buyang Li, Yifei Wu: An unfiltered low-regularity integrator for the KdV equation with solutions below H^1, to appear in Found. Comput. Math., 2025.

3.Jia Rui, Yifei Wu: Instability of the solitary waves for the Generalized Benjamin-Bona-Mahony Equation, Calc. Var. Partial Differ. Equ., 2025, no. 4, Paper No. 124, 33 pp.

4.Jing, Li, Yue, Liu, Yifei Wu, Haohao Zheng: Stability and instability of solitary-wave solutions for the nonlinear Klein-Gordon equation. J. Funct. Anal. 289 (2025), no.6, Paper No. 110981, 38 pp.

5.Jia Shen, Yifei Wu: Global well-posedness and scattering of 3D defocusing, cubic Schrödinger equation, Mathematical Research Letters, 30 (2023), no. 6, 1931–1961.

6.Bing Li , Yifei Wu , Xiaofei Zhao, Gauge-transformed exponential integrator for generalized KdV equations with rough data, SIAM J. Numer. Anal. 61 (2023), no. 4, 1689–1715.

7.Ruobing Bai; Jia Shen; Yifei Wu, Large Global Solutions for the Energy-Critical Nonlinear Schrödinger Equation, SIAM J. Math. Anal.55 (2023), no.5, 4193–4218.

8.Jia Shen, Avy Soffer, Yifei Wu, Almost sure well-posedness and scattering of the 3D cubic nonlinear Schrödinger equation, Comm. Math. Phys. 397 (2023), 547–605.

9.Yifei Wu, Instability of the standing waves for the nonlinear Klein-Gordon equations in one dimension, Trans. Amer. Math. Soc. 376 (2023), 4085–4103.

10.Genming Bai, Buyang Li, Yifei Wu, A constructive low-regularity integrator for the 1D cubic nonlinear Schrödinger equation under the Neumann boundary condition, IMA J. Numer. Anal., 42(2022), 3499–3528.

11.Cui Ning, Yifei Wu, Xiaofei Zhao: An embedded exponential-type low-regularity integrator for mKdV equation, SIAM J. Numer. Anal., 60 (2022), no. 3, 999-1025.

12.Yifei Wu, Fangyan Yao: A first-order Fourier integrator for the nonlinear Schrödinger equation on 𝕋 without loss of regularity. Math. Comp., 91 (2022), no. 335, 1213-1235.

13.Yifei Wu; Xiaofei Zhao: Optimal convergence of a second order low-regularity integrator for the KdV equation, IMA J. Numer. Anal., 42 (2022), no. 4, 3499–3528.

14.Marius Beceanu; Qingquan Deng; Avy Soffer and Yifei Wu: Large global solutions for nonlinear Schrödinger equations II. Mass-supercritical, energy-subcritical cases, Comm. Math. Phys., 382 (2021), 173-237.

15.Marius Beceanu; Qingquan Deng; Avy Soffer and Yifei Wu: Large global solutions for nonlinear Schrödinger equations I. Mass-subcritical cases, Advances in Mathematics, 2021, No. 107973.

16.Buyang Li, Yifei Wu: A fully discrete low-regularity integrator for the 1D periodic cubic nonlinear Schrödinger equation, Numer. Math, 149 (2021), no. 1, 151–183.

17.Bing Li, Masahito Ohta, Yifei Wu, Jun Xue: Instability of the solitary waves for the generalized Boussinesq equations, SIAM J.Math.Anal., 52 (2020), 3192-3221.

18.Ruobing Bai; Yifei Wu; Jun Xue, Optimal small data scattering for the generalized derivative nonlinear Schrödinger equation, Journal of Differential Equation, 269 (2020), 6422-6447.

19.Zihua Guo, Cui Ning, Yifei Wu, Instability of the solitary wave solutions for the generalized derivative nonlinear Schrödinger equation in the critical frequency case, Mathematical Research Letters, 2019, 339–375.

20.Jiahong Wu, Yifei Wu, Global small solutions to the compressible 2D Magnetohydrodynamic system without magnetic diffusion; Advances in Mathematics, V.310; 2017; 759-888.

21.Stefan Le Coz, Yifei Wu: Stability of multi-solitons for the derivative nonlinear Schrödinger equation; International Mathematics Research Notices, 2017, RNX013, 4120–4170.

22.Jiguang Bao, Yifei Wu: Global well-posedness for periodic generalized Korteweg-de Vries equation; Indiana University Mathematics Journal, V. 66; 2017, 1797-1825.

23.Soonsik Kwon, Yifei Wu: Orbital stability of solitary waves for derivative nonlinear Schrodinger equation,Journal d’Analyse Mathematique, 2017, 473-486.

24.Cui Ning, Masahito Ohta, Yifei Wu: Instability of solitary wave solutions for derivative nonlinear Schrödinger equation in endpoint case, Journal of Differential Equation, 262 (2017),1671-1689.

25.Yifei Wu: Global well-posedness on the derivative nonlinear Schrödinger equation, Analysis & PDE, 8 (2015), 1101-1112.

26.Jiahong Wu, Yifei Wu, Xiaojing Xu: Global small solution to the 2D MHD system with a velocity damping term, SIAM Journal of Mathematical Analysis, 47(2015), 2630–2656.

27.Dong Li,Yifei Wu: The Cauchy problem for the two dimensional Euler-Poisson system, Journal of the European Mathematical Society, 16 (2014), 2211-2266, 2014.

28.Yifei Wu: Global well-posedness for the nonlinear Schrödinger equation with derivative in energy space, Analysis & PDE, 6 (2013), pp 1989-2002.

29.Yongsheng Li, Yifei Wu, Guixiang Xu: Global well-posedness for the mass-critical nonlinear Schrödinger equation, SIAM Journal of Mathematical Analysis, V.43, pp 322-340, 2011.

30.Changxing Miao, Yifei Wu, Guixiang Xu: Global well-posedness for Schrödinger equation with derivative in H1/2(R), Journal of Differential Equation, V.251, pp 2164-2195, 2011.

31.Yongsheng Li, Yifei Wu, Guixiang Xu: Global well-posedness for the periodic mass-critical nonlinear Schrödinger equation, Journal of Differential Equation, V.250, pp 2715-2736, 2011.


奖励与荣誉

2019年和2023年,国家级重大人才项目获得者

2023年, 天津市优秀青年研究生指导教师(首届), 唯一获奖人;


联系方式

邮箱:[email protected]