Vanishing viscosity in the plane for nondecaying velocity and vorticity

Details Vanishing viscosity in the plane for nondecaying velocity and vorticity Vanishing viscosity in the plane for nondecaying velocity and vorticity

2008-08-26

arxiv.org/abs/0808.3428v1

Mathematics

Analysis of PDEs

Submitted for publication

Scientific paper

Assuming that initial velocity and initial vorticity are bounded in the
plane, we show that on a sufficiently short time interval the unique solutions
of the Navier-Stokes equations converge uniformly to the unique solution of the
Euler equations as viscosity approaches zero. We also establish a rate of
convergence.

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