Background and activities
I am a PhD candidate in pure mathematics, especially in the area of dispersion equation: orbital stability/instability, entropy solution and global bifurcation theory.
1. O. Maehlen and J. Xue, One sided Hölder regularity of global weak solutions of negative order dispersive equations, arXiv:https://arxiv.org/pdf/2107.01039.pdf
2. B. Li, M. Ohta, Y. F. Wu and J. Xue, Instability of the Solitary Waves for the Generalized Boussinesq Equations, SIAM J. Math. Anal., 52 (4) (2020), pp. 3192-3221. https://doi.org/10.1137/18M1199198
3. R. B. Bai, Y. F. Wu and J. Xue, Optimal small data scattering for the generalized derivative nonlinear Schrödinger equations, J. Differential Equations, 269 (9) (2020), pp. 6422-6447. https://doi.org/10.1016/j.jde.2020.05.001
4. Y. L. Gao and J. Xue, Local well-posedness and small data scattering for energy super-critical nonlinear wave equations, Appl. Anal., 100 (3) (2021), 663-674. https://doi.org/10.1080/00036811.2019.1616084