15.02.16.01.：访问美国Brown大学应用数学系。

13.08.-13.09.: 访问加拿大McGill大学数学系。

10.08.- 10.12.：访问英国剑桥牛顿数学开云足球app官方下载安装 所。

07.03.- 07.08.：访问韩国首尔大学数学系。

1. 关于两类动理学-流体耦合方程组相关问题的研究 (国家自然科学基金委面上项目2019-2022)

2. Boltzmann 方程与守恒律方程相关问题研究（国家自然科学基金委面上项目：已结题）

3. 关于几类分子学动力学方程边界层解的适定性问题研究（国家自然科学基金委青年基金：已结题）

4.关于分子动力学方程相关问题的研究（上海市晨光计划：已结题）

1.获2007年开云网页登录 优秀博士后二等奖；

2. 获2009年开云网页登录 晨星学者奖励计划(B类)；

3. 2011年获得上海市自然科学一等奖(排名第四)；

4.获2012年开云网页登录 晨星学者奖励计划(A类)；

5.获2018年开云网页登录 晨星学者奖励计划;(2018-2020)

研究生课后练习：(1)(2)(3)(4)(5C)(6)(7C)(8)(9)(10)(11)

1. Y. X.Nonlinear stability of boundary layers for the Boltzmann equation with cutoff soft potentials.J. Math.Anal. Appl. 345 (2008),no.2,941–953.
2. Ha, Seung-Yeal; Lee, Ho;Y. X.; Yun, Seok-Bae: Uniform L²-stability estimates for the relativistic Boltzmann equation. J. Hyperbolic Differ. Equ. 6 (2009), no.2,295–312.
   
3. Ha, Seung-Yeal;Y. X.; Yun, Seok-Bae: L²-stability theory of the Boltzmann equation near a global Maxwellian.Arch. Ration. Mech. Anal. 197 (2010), no. 2,657–688.
4. Y. X.: The stability of rarefaction wave for Navier–Stokes equations in the half-line.Math. Meth. Appl. Sci. 34 (2011) no. 11, 1366-1380.
5. Y. X.: The solutions for the boundary layer problem of Boltzmann equation in a half-space.J. Stat. Phys. 143 (2011), no.1,168-196.
   
6. Li, Yeping;Y. X.: Global existence and asymptotic behavior of the solutions to the three dimensional bipolar Euler- Poisson systems.J. Differential Equations 252 (2012) no.1, 768-791.
   
7. Y. X.:Asymptotic behavior on the Milne problem with a force term.J. Differential Equations 252 (2012), no. 9,4656–4678.
   
8. Bardos, Claude;Y. X.:The classification of well-posed kinetic boundary layer for hard sphere gas mixtures.Comm. Part. Differ. Eqns. 37 (2012), no. 7, 1286–1314.
   
9. Duan, Renjun;Y. X.Stability of rarefaction wave and boundary layer for outflow problem on the two-fluid Navier-Stokes-Poisson equations.Comm. Pure Appl. Anal. 12 (2013), no. 2, 985-1014.
   
10. He, Lingbing;Y. X.:Well-posedness and asymptotics of grazing collisions limit of Boltzmann equation with Coulomb interaction. SIAM J. Math. Anal. 46 (2014), no. 6,4104–4165.
    
11. Chern, I-Liang; Mei, Ming;Y. X.;Zhang，Qifeng: Stability of non-monotone critical traveling waves for reaction-diffusion equations withtime-delay.J. Differential Equations 259 (2015), no. 4,1503–1541.
    
12. Guo, Yan;Y. X.: Existence and BV-regularity for neutron transport equation in non-convex domain.SIAM J. Math. Anal. 48 (2016), no. 5,3467–3495.
    
13. Wu, Lei;Y. X.;Guo, Yan:Asymptotic analysis of transport equation in annulus.J.Stat.Phys.165 (2016), no. 3, 585-644.
    
14. Li, Yeping;Y. X.Stability of stationary solution for the compressible viscous magnetohydrodynamic equations with large potential force in bounded domain.J. Differential Equations 262 (2017), no. 4,3169–3193.
15. Liu, Shangqian;Y. X.: The initial boundary value problem for the Boltzmann equation with soft potential.Arch. Ration. Mech. Anal. 223 (2017), no.1,463–541.
16. Wang, Wenjun; Xie Feng;Y. X.: Decay rates of solutions to a P1-approximation model arising from radiation hydrodynamics. J. Differential Equations 264 (2018), no. 4,2936–2969
17. Liao, Jie; Wang, Qianrong ; Y. X.:Global existence and decay rates of the solutions near Maxwellian for non-linear Fokker–Planck Equations. J. Stat. Phys. 173 (2018) no.1 222-241.