INVISCID LIMIT FOR VORTEX PATCHES

被引：83
|
作者：
CONSTANTIN, P
WU, JH
机构：
[1] Department of Mathematics, The University of Chicago, Chicago, IL, 60637
来源：
NONLINEARITY | 1995年 / 8卷 / 05期
关键词：
D O I：
10.1088/0951-7715/8/5/005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
引用
收藏
页码：735 / 742
页数：8
相关论文
共 50 条
  • [1] Inviscid limit for vortex patches in a bounded domain
    Jiu, Quansen
    Wang, Yun
    APPLIED MATHEMATICS LETTERS, 2012, 25 (10) : 1367 - 1372
  • [2] On continuation of inviscid vortex patches
    Gallizio, Federico
    Iollo, Angelo
    Protas, Bartosz
    Zannetti, Luca
    PHYSICA D-NONLINEAR PHENOMENA, 2010, 239 (3-4) : 190 - 201
  • [3] ON A GEOPHYSICAL INVISCID VORTEX
    GRANGER, RA
    QUARTERLY OF APPLIED MATHEMATICS, 1982, 40 (03) : 339 - 346
  • [4] Vortex Patches
    Baker, G. R.
    CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2013, 96 (02): : 91 - 101
  • [5] Vortex patches
    Baker, G.R.
    CMES - Computer Modeling in Engineering and Sciences, 2013, 96 (02): : 91 - 101
  • [6] The nature of inviscid vortex breakdown
    Goldshtik, M
    Hussain, F
    PHYSICS OF FLUIDS, 1997, 9 (02) : 263 - 265
  • [7] AN INVISCID VORTEX IN A STRATIFIED ENVIRONMENT
    GRANGER, RA
    BULLETIN OF THE AMERICAN PHYSICAL SOCIETY, 1980, 25 (09): : 1087 - 1087
  • [8] Inviscid Axisymmetrization,of an Elliptical Vortex
    Koumoutsakos, P.
    Journal of Computational Physics, 138 (02):
  • [9] Inviscid axisymmetrization of an elliptical vortex
    Koumoutsakos, P
    JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 138 (02) : 821 - 857
  • [10] THE INVISCID STABILITY OF LONGS VORTEX
    FOSTER, MR
    DUCK, PW
    PHYSICS OF FLUIDS, 1982, 25 (10) : 1715 - 1718
12345