222 citations · 909 across the 49 of their papers we have counts for
53 papers
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…
Viscous shocks and long-time behavior of scalar conservation laws
Thierry Gallay, Arnd Scheel
We study the long-time behavior of scalar viscous conservation laws via the structure of -limit sets. We show that -limit sets always contain constants or shocks by establish…
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 vor…
Arnold's variational principle and its application to the stability of planar vortices
Thierry Gallay, Vladimir Sverak
We consider variational principles related to V. I. Arnold's stability criteria for steady-state solutions of the two-dimensional incompressible Euler equation. Our goal is to inve…