主要研究兴趣为可压缩流体力学偏微分方程的适定性和色散偏微分方程的波的破裂以及动力学行为。

        兰州大学数学与统计学院教授，博导。先后在挪威科技大学、巴黎萨克雷大学从事博士后研究工作，曾应邀到瑞典，加拿大，德国，美国，俄罗斯等访问交流。

1.    Li, Hai-Liang; Wang, Yuexun; Xin, Zhouping, On the vacuum free boundary problem of the viscous Saint-Venant system for shallow water in two dimensions.  Math. Annalen (2024). 
2.     Saut, Jean-Claude; Sun, Shihan; Wang, Yuexun; Zhang Yi, Wave breaking for  the generalized Fornberg-Whitham equation. SIAM J. Math. Anal. (2024);  
3.    Saut, Jean-Claude; Wang, Yuexun, The wave breaking for Whitham-type equations revisited. SIAM J. Math. Anal. (2022); 
4.    Klein, Christian; Saut, Jean-Claude; Wang, Yuexun, On the modified fractional Korteweg–de Vries and related equations. Nonlinearity (2022);
5.    Ehrnstrom, Mats; Wang, Yuexun, Enhanced existence time of solutions to evolution equations of Whitham type. Discrete Contin. Dyn. Syst. (2022);
6.    Saut, Jean-Claude; Wang, Yuexun, Global dynamics of small solutions to the modified fractional Korteweg–de Vries and fractional cubic nonlinear Schrödinger equations. Comm. Partial Differential Equations (2021); 
7.    Saut, Jean-Claude; Wang, Yuexun, Long time behavior of the fractional Korteweg–de Vries equation with cubic nonlinearity. Discrete Contin. Dyn. Syst. (2021); 
8.    Ehrnstrom, Mats; Wang, Yuexun, Enhanced existence time of solutions to the fractional Korteweg–de Vries equation. SIAM J. Math. Anal. (2019); 
9.    Li, Hai-Liang; Wang, Yuexun; Xin, Zhouping, Non-existence of classical solutions with finite energy to the Cauchy problem of the compressible Navier Stokes equations. Arch. Ration. Mech. Anal. (2019);