Research

I study nonlinear partial differential equations, especially equations appeared in incompressible fluid dynamics and mathematical biology.

Publications

1. (with Elie Abdo) On the space-time analyticity of the Keller-Segel-Navier-Stokes system, preprint, arXiv:2402.04564

2. Suppression of Chemotactic Singularity via Viscous Flow with Large Buoyancy, preprint, arXiv:2311.10003

3. (with Chenyun Luo and Yao Yao) Small scale creation for 2D free boundary Euler equations with surface tension, Annals of PDE (to appear), preprint, arXiv:2309.08137

4. (with Alexander Kiselev) Suppression of chemotactic blowup by strong buoyancy in Stokes-Boussinesq flow with cold boundary, Journal of Functional Analysis (to appear), arXiv:2309.04349

5. (with Alexander Kiselev and Yao Yao) Suppression of chemotactic singularity by buoyancy, preprint, arXiv:2305.01036