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arXiv · 0809.1249

A finite time result for vanishing viscosity in the plane with nondecaying vorticity

Elaine Cozzi
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Abstract

Assuming that initial velocity has finite energy and initial vorticity is bounded in the plane, we show that for any finite 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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Elaine Cozzi. 2009-03-26. A finite time result for vanishing viscosity in the plane with nondecaying vorticity. https://arxiv.org/abs/0809.1249

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