1 citations · 2 across the 8 of their papers we have counts for
10 papers
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…
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…
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 …
Existence of Solutions to Fluid Equations in Hölder and Uniformly Local Sobolev Spaces
David M. Ambrose, Elaine Cozzi, Daniel Erickson +1
We establish short-time existence of solutions to the surface quasi-geostrophic equation in both the Hölder spaces for and the uniformly local Sobolev spa…
Well-posedness of the 2D Euler equations when velocity grows at infinity
Elaine Cozzi, James P. Kelliher
We prove the uniqueness and finite-time existence of bounded-vorticity solutions to the 2D Euler equations having velocity growing slower than the square root of the distance from…
The aggregation equation with Newtonian potential
Elaine Cozzi, Gung-Min Gie, James P Kelliher
The viscous and inviscid aggregation equation with Newtonian potential models a number of different physical systems, and has close analogs in 2D incompressible fluid mechanics. We…