Showing math.APShow all
2 papers · 1 filter
math.AP2025
Ill-Posedness of the 2D Euler Equations in a Logarithmically Refined Critical Sobolev Space
Elaine Cozzi, Nicholas Harrison, Zachary Radke
In their seminal work, Bourgain and Li establish strong ill-posedness of the 2D Euler equations for initial velocity in the critical Sobolev space . In this work…
math.AP2025
Global Existence For A Nonlocal Multi-Species Aggregation-Diffusion Equation
Elaine Cozzi, Zachary Radke
We consider the question of global existence of smooth solutions to a multi-species aggregation-diffusion equation for a class of singular interaction kernels. We establish a small…