I am interested in Partial Differential Equations.  Specifically, the regularity theory and the time-relaxation limit of fluid equations. 

You can find my  Curriculum Vitae  and  PhD thesis  and  Orcid link

1. 1. With C. Collot and C. Prange,   Stable self-similar singularity formation for infinite energy solutions of the incompressible porous medium equations,

       Communications in Mathematical Physics (to appear), arXiv

1. 2.  Weak solutions of Moffatt’s magnetic relaxation equations, 

         accepted by SIAM Journal on Mathematical Analysis 2026, arXiv

1. 3.  With C. Prange,   Free boundary regularity of vacuum states for incompressible viscous flows in unbounded domains,

       accepted by American Journal of Mathematics 2025, arXiv

1. 4. With T. Barker and C. Prange,   On symmetry breaking for the Navier-Stokes equations, 

        Communications in Mathematical Physics, 405(25) (2024), Journal link

1. 5.  With L. Zhang,   Inhomogeneous incompressible Hall-MHD system with only bounded density, 

                Science China Mathematics (2024),  Journal link

1. 6. With R. Danchin,   On the well-posednessof the Hall-Magnetohydrodynamics system in critical spaces, 

         Communications in Partial Differential Equations, 46(1) (2021) 31--65, Journal link

1. PI:  General Research Fund, HK Research Grant Council,   On Lions’ density patch problem for the incompressible density-dependent Navier-Stokes equations,  Sept. 2025–Aug. 2028

2. PI: Direct Grant,  CUHK,   Nonlinear stability of Moffatt's magnetic relaxation equations,  Mar. 2025–June. 2026

3. PI: PEPS JCJC 2023, INSMI,   Some qualitative and quantitative properties of equations arising from fluid mechanics,  Jan. 2023–Dec. 2023