4 papers · 1 filter
Viscous evolution of a point vortex in a half-plane
Anne-Laure Dalibard, Thierry Gallay
As a model for vortex-wall interactions, we consider the two-dimensional incompressible Navier--Stokes equations in the half-plane with no-slip boundary condition and point…
Fast relaxation of a viscous vortex in an external flow
Martin Donati, Thierry Gallay
We study the evolution of a concentrated vortex advected by a smooth, divergence-free velocity field in two space dimensions. In the idealized situation where the initial vorticity…
The long way of a viscous vortex dipole
Michele Dolce, Thierry Gallay
We consider the evolution of a viscous vortex dipole in originating from a pair of point vortices with opposite circulations. At high Reynolds number , the dipole ca…
Vanishing viscosity limit for axisymmetric vortex rings
Thierry Gallay, Vladimir Sverak
For the incompressible Navier-Stokes equations in with low viscosity , we consider the Cauchy problem with initial vorticity that represents an infinitely thin v…