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19952026
most citedInvariant manifolds and the long-time asymptotics of the Navier-Stokes and vorticity equations on R^2

222 citations · 909 across the 49 of their papers we have counts for

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math.AP2005★ 16 cited

Three-Dimensional Stability of Burgers Vortices: the Low Reynolds Number Case

Th. Gallay, C. E. Wayne

In this paper we establish rigorously that the family of Burgers vortices of the three-dimensional Navier-Stokes equation is stable for small Reynolds numbers. More precisely, we p…

math.AP2005★ 1 cited

Existence and stability of asymmetric Burgers vortices

Th. Gallay, C. E. Wayne

Burgers vortices are stationary solutions of the three-dimensional Navier-Stokes equations in the presence of a background straining flow. These solutions are given by explicit for…