Inviscid limit for vortex patches
- 1 September 1995
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 8 (5) , 735-742
- https://doi.org/10.1088/0951-7715/8/5/005
Abstract
We investigate the inviscid limit for two dimensional incompressible fluids in the plane. We prove that, if the initial data are vortex patches with smooth boundaries, then the inviscid Eulerian dynamics is approached at a rate that is slower than the rate for smooth initial data. The circular patches provide lower bounds.Keywords
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