David M Ambrose

collaborators

3 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 $2 α$ for $α > \frac{1}{2}$ .) We esta…

math.AP2025

Horizontally periodic generalized surface quasigeostrophic patches and layers

David M. Ambrose, Fazel Hadadifard, James P. Kelliher

We study solutions to the $α$ -SQG equations, which interpolate between the incompressible Euler and surface quasi-geostrophic equations. We extend prior results on existence of bou…