(With Xin Liu,) 1D free boundary shallow water equations with surface tension and dynamic contact angle: Well-posedness for inviscid flows. In preparation.
Global well-posedness for an 1D quadratic derivative NLS model arising from free boundary shallow water equations. In preparation.
(With Matthew Bradshaw, Titus de Jong, Wencai Liu, Audrey Wang, and Xueyin Wang.) Quantum Dynamical Bounds for Quasi-Periodic Operators with Liouville Frequencies. arXiv: 2510.25603
Master's thesis. Time Decay of Solutions to Wave Equations
Supervised by Professor Mahir Hadžić.