论文信息 - Vanishing viscosity and the accumulation of vorticity on the boundary

Vanishing viscosity and the accumulation of vorticity on the boundary

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 to the velocity for a solution to the Euler equations. We prove, for a bounded domain in dimension 2 or higher, that the vanishing viscosity limit holds in the classical sense if and only if a vortex sheet forms on the boundary.

James P. Kelliher | J. Kelliher

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