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 Patlak-Keller-Segel equations.
(with Zachary Radke and Elaine Cozzi) Ill-Posedness of the 2D Euler Equations ina Logarithmically Refined Critical Sobolev Space; arXiv, 2025.
(with Zachary Radke) Well-Posedness for the Euler Equations in Function Spacers of Generalized Smoothness; arXiv, 2025.
(with Elaine Cozzi) Local Existence for the 2D Euler Equations in a Critical Sobolev Space; arXiv, to appear in Nonlinear Analysis, December 2025.