Preprint


    1. Jia Shen, Avy Soffer, Yifei Wu, Almost sure scattering for the nonradial energy-critical NLS with arbitrary regularity in 3D and 4D cases, arXiv:2111.11935.

    2. Avy Soffer, Yifei Wu, Xiaohua Yao, Global existences and asymptotic behavior for semilinear heat equation, arXiv:2012.14351.

    3. Yifei Wu, Xiaofei Zhao, Embedded exponential-type low-regularity integrators for KdV equation under rough data, arXiv:2008.07053.

    4. Jia Shen, Yifei Wu, Global well-posedness and scattering of 3D defocusing, cubic Schrödinger equation, arXiv:2008.10019.

    5. Avy Soffer, Yifei Wu, Xiaohua Yao, Global rough solution for L2-critical semilinear heat equation in the negative Sobolev space, arXiv:1903.08316.

    6. Marius Beceanu, Qingquan Deng, Avy Soffer, Yifei Wu, Large global solutions for nonlinear Schrödinger equations III, energy-supercritical cases, arXiv:1901.07709.

Published


    1. 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.

    2. 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.

    3. 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.

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

    5. 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.

    6. 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.

    7. 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.

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

    9. 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.

    10. 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.

    11. 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.

    12. 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.

    13. 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.

    14. 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.

    15. 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.

    16. 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.

    17. 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.

    18. 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.

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

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

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

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

    23. 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.

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

    25. 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.

    26. 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.

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

    28. 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.

    29. 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.

    30. 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.