4 citations · 6 across the 10 of their papers we have counts for
6 papers · 1 filter
The 3D Euler equations with inflow, outflow and vorticity boundary conditions
Gung-Min Gie, James P. Kelliher, Anna L. Mazzucato
The 3D incompressible Euler equations in a bounded domain are most often supplemented with impermeable boundary conditions, which constrain the fluid to neither enter nor leave the…
The linearized 3D Euler equations with inflow, outflow
Gung-Min Gie, James P. Kelliher, Anna L. Mazzucato
In 1983, Antontsev, Kazhikhov, and Monakhov published a proof of the existence and uniqueness of solutions to the 3D Euler equations in which on certain inflow boundary components…
The Vanishing viscosity limit for some symmetric flows
Gung-Min Gie, James P. Kelliher, Milton C. Lopes Filho +2
The focus of this paper is on the analysis of the boundary layer and the associated vanishing viscosity limit for two classes of flows with symmetry, namely, Plane-Parallel Channel…
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…
Stability of Vortex Solutions to an Extended Navier-Stokes System
Gung-Min Gie, Christopher Henderson, Gautam Iyer +2
We study the long-time behavior an extended Navier-Stokes system in where the incompressibility constraint is relaxed. This is one of several "reduced models" of Grubb and S…
Boundary layer analysis of the Navier-Stokes equations with Generalized Navier boundary conditions
Gung-Min Gie, James P. Kelliher
We study the weak boundary layer phenomenon of the Navier-Stokes equations in a 3D bounded domain with viscosity, , under generalized Navier friction boundary conditions, in…