Research & Projects
Research & Projects
My main research focuses on the well/ill-posedness of nonlinear partial differential equations arising in fluid mechanics, including the incompressible Euler and Navier-Stokes, Surface Quasigeostrophic, and Aggregation equations.
(with Zachary Radke and Elaine Cozzi) Ill-Posedness of the 2D Euler Equations in a Logarithmically Refined Critical Sobolev Space; Submitted, 2025. arXiv
(with Zachary Radke) Well-Posedness for the Euler Equations in Function Spaces of Generalized Smoothness; Journal of Differential Equations, 2026. arXiv
(with Elaine Cozzi) Local Existence for the 2D Euler Equations in a Critical Sobolev Space; Nonlinear Analysis 261, December 2025. arXiv