Vanishing viscosity in the plane for nondecaying velocity and vorticity
Analysis of PDEs
2008-08-27 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.0808.3428,
title = {Vanishing viscosity in the plane for nondecaying velocity and vorticity},
author = {Elaine Cozzi},
journal= {arXiv preprint arXiv:0808.3428},
year = {2008}
}
Comments
Submitted for publication