My work is on the analysis of partial differential equations, with an emphasis on equations arising from fluids.
Ill-Posedness of the 2D Euler Equations in a Logarithmically Refined Critical Sobolev Space, with Elaine Cozzi and Nick Harrison, Journal of Dynamics and Differential Equations (2026)
Well Posedness for the Euler Equations in Function Spaces of Generalized Smoothness, with Nick Harrison, Journal of Differential Equations (2026)
Existence of Non-Decaying Solutions to the Generalized Surface Quasi-Geostrophic Equations, Journal of Mathematical Fluid Mechanics (2026)
Global Existence for a nonlocal multi-species aggregation-diffusion equation, with Elaine Cozzi, Quarterly of Applied Mathematics (2025)