2 papers
math.AP2026
Non-decaying weak solutions to the 2D quasi-geostrophic equations
David M. Ambrose, Ryan Aschoff, Elaine Cozzi +1
We investigate weak solutions to the two-dimensional quasi-geostrophic equations without dissipation. We establish global existence of weak solutions for temperature bounded and la…
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 esta…