The role of spatial analyticity in the local alignment of vorticity directions in 3D viscous fluids

Authors
Grujic, Z
Citation
Z. Grujic, The role of spatial analyticity in the local alignment of vorticity directions in 3D viscous fluids, NONLINEARIT, 12(5), 1999, pp. 1239-1246
Citations number
15
Categorie Soggetti
Mathematics
Journal title
NONLINEARITY
ISSN journal
09517715 → ACNP
Volume
12
Issue
5
Year of publication
1999
Pages
1239 - 1246
Database
ISI
SICI code
0951-7715(199909)12:5<1239:TROSAI>2.0.ZU;2-H
Abstract
We study local spatial dynamics of the vorticity directions in the 3D Navie r-Stokes model. More precisely, utilizing the spatial analyticity of soluti ons, we obtain estimates of the 2D Hausdorff measure of the level sets aris ing in the local alignment.