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

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

2008-09-07

arxiv.org/abs/0809.1249v2

Mathematics

Analysis of PDEs

This version replaces a previous version (v1) which used an incorrect characterization of BMO. In this version we assume initi

Scientific paper

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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