38 citations · 85 across the 23 of their papers we have counts for
28 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…
On a generalized incompressible model in two dimensions
Hantaek Bae, Kyungkeun Kang, James P Kelliher +1
We analyze a generalized incompressible model proposed by Ohkitani [19]. This model is based on the observation that the two-dimensional Burgers' equation can be related to the inc…
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…
On Vanishing Viscosity with Inflow, Outflow
Michael A. Gulas, James P. Kelliher
We establish convergence as the viscosity vanishes of solutions of the Navier-Stokes equations to a solution of the Euler equations for inflow, outflow boundary conditions. We exte…
Horizontally periodic generalized surface quasigeostrophic patches and layers
David M. Ambrose, Fazel Hadadifard, James P. Kelliher
We study solutions to the -SQG equations, which interpolate between the incompressible Euler and surface quasi-geostrophic equations. We extend prior results on existence of bou…
Large time behavior for the 3D Navier-Stokes with Navier boundary conditions
James P. Kelliher, Christophe Lacave, Milton C. Lopes Filho +2
We study the three-dimensional incompressible Navier-Stokes equations in a smooth bounded domain with initial velocity square-integrable, divergence-free and tangent to $…