38 citations · 45 across the 4 of their papers we have counts for
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Vanishing viscosity and the accumulation of vorticity on the boundary
James P. Kelliher
We say that the vanishing viscosity limit holds in the classical sense if the velocity for a solution to the Navier-Stokes equations converges in the energy norm uniformly in time…
On the vanishing viscosity limit in a disk
James P Kelliher
We say that the solution u to the Navier-Stokes equations converges to a solution v to the Euler equations in the vanishing viscosity limit if u converges to v in the energy norm u…
Navier-Stokes equations with Navier boundary conditions for a bounded domain in the plane
James P. Kelliher
We consider solutions to the Navier-Stokes equations with Navier boundary conditions in a bounded domain in the plane with a C^2-boundary. Navier boundary conditions can be express…
The inviscid limit for two-dimensional incompressible fluids with unbounded vorticity
James P. Kelliher
Chemin has shown that solutions of the Navier-Stokes equations in the plane for an incompressible fluid whose initial vorticity is bounded and lies in L^2 converge in the zero-visc…