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math.AP2025
Non-Decaying Solutions to the 2D Dissipative Quasi-Geostrophic Equations
David M. Ambrose, Ryan Aschoff, Elaine Cozzi +1
We consider the surface quasi-geostrophic equation in two spatial dimensions, with subcritical diffusion (i.e. with fractional diffusion of order for .) We es…
math.AP2024
Local Existence for the 2D Euler Equations in a Critical Sobolev Space
Elaine Cozzi, Nicholas Harrison
In their seminal work, Bourgain and Li establish strong ill-posedness of the 2D incompressible Euler equations with vorticity in the critical Sobolev space …