1. 研究了不可压理想磁流体方程等的自由边界问题的适定性
2. 得到了Oberbeck-Boussinesq近似模型的两相流自由界面问题的适定性
3. 研究了四阶非线性导数Schrödinger方程的适定性

1. (with W. Zhang)  Maximal $L^p-L^q$ regularity for two-phase fluid motion in the linearized Oberbeck-Boussinesq approximation, J. Differential Equations, 322, 101-134, 2022.
2. (with T. Luo)  Well-posedness for the linearized free boundary problem of incompressible ideal magnetohydrodynamics equations,   J. Differential Equations,  299, 542-601, 2021.
3. (with T. Luo)  Ill-posedness of free boundary problem of the incompressible ideal MHD, Commun. Math. Phys., 376(1), 259–286, 2020.
4. On the motion of free interface in ideal incompressible MHD, Arch. Rational Mech. Anal., 224(2), 515–553, 2017.
5. (with D. Wang)  A Priori Estimates for the Free Boundary Problem of Incompressible Neo-Hookean Elastodynamics,  J. Differential Equations, 261(1), 712–737, 2016.
6. (with T. Luo)  A Priori Estimates for Free Boundary Problem of Incompressible Inviscid Magnetohydrodynamic Flows, Arch. Ration. Mech. Anal., 212(3), 805-847, 2014.
7. (with H. Li) Well-posedness for a multi-dimensional viscous gas-liquid two-phase flow model, SIAM J. Math. Anal., 44(3), 1304–1332, 2012.
8. (with B. X. Wang, Z. H. Huo, Z. H. Guo) Harmonic analysis method for nonlinear evolution equations,I, World Scientific Pub Co Inc, 2011. (Book)
9. (with H.-L.Li) Global existence for compressible Navier-Stokes-Poisson equations in three and higher dimensions, Journal of Differential Equations,246, 4791-4812, 2009.
10. (with L. Hsiao and B. X. Wang) Wellposedness of Cauchy problem for the fourth order nonlinear Schrödinger equations in multi-dimensional spaces, Journal of Mathematical Analysis and Applications, 328(1), 58-83, 2007.
11. (with B. X. Wang and H. Hudzik) Energy scattering for the nonlinear Schrödinger equations with exponential growth in lower spatial dimensions, Journal of Differential Equations, 228(1), 311-338, 2006.
12. (with L. Hsiao and B. X. Wang) Wellposedness for the fourth order nonlinear Schrödinger equations, Journal of Mathematical Analysis and Applications, 320(1), 246-265, 2006.
13. (with L. Hsiao and H.-L. Li) Modified Scattering for Bipolar Nonlinear Schrödinger-Poisson Equations, Mathematical Models & Methods in Applied Sciences, 14(10), 1481-1494, 2004.