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arXiv · 0808.3428

Vanishing viscosity in the plane for nondecaying velocity and vorticity

Elaine Cozzi
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Abstract

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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Elaine Cozzi. 2008-08-26. Vanishing viscosity in the plane for nondecaying velocity and vorticity. https://arxiv.org/abs/0808.3428

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