From Point Vortices to Vortex Patches in Self-Similar Expanding Configurations

被引:1
|
作者
Zbarsky, Samuel [1 ]
机构
[1] Princeton Univ, Princeton, NJ 08544 USA
关键词
LARGE-TIME BEHAVIOR; GROWTH; SUPPORT; LOCALIZATION; CONFINEMENT; EVOLUTION;
D O I
10.1007/s00220-021-04227-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The main result is that given a self-similarly expanding configuration of 3 point vortices that start sufficiently far out, we can instead take compactly supported vorticity functions, and the resulting solution to 2D incompressible Euler will evolve like a nearby point vortex configuration for all time, with the size of the patches growing at most as t(1/4+epsilon) and the distance between them growing as root t.
引用
收藏
页码:707 / 733
页数:27
相关论文
共 50 条
  • [41] Erratum to: On self-similar axion-dilaton configurations
    Riccardo Antonelli
    Ehsan Hatefi
    Journal of High Energy Physics, 2022
  • [42] An exact self-similar solution for an expanding ball of radiation
    Ponce De Leon, J.
    Wesson, P. S.
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2006, 15 (03): : 395 - 404
  • [43] Self-similar collapse of collisional gas in an expanding universe
    Chuzhoy, L
    Nusser, A
    MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2000, 319 (03) : 797 - 806
  • [44] Critical ignition in rapidly expanding self-similar flows
    Radulescu, Matei I.
    Maxwell, Brian M.
    PHYSICS OF FLUIDS, 2010, 22 (06) : 066101 - 066101
  • [45] The self-similar expanding curve for the curvature flow equation
    Chern, HH
    Guo, JS
    Lo, CP
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2003, 131 (10) : 3191 - 3201
  • [46] Self-similar expanding solutions in a sector for a crystalline flow
    Giga, MH
    Giga, Y
    Hontani, H
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2005, 37 (04) : 1207 - 1226
  • [47] Self-similar collapse with cooling and heating in an expanding universe
    Uchida, S
    Yoshida, T
    MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2004, 348 (01) : 89 - 99
  • [48] Self-similar vortex clusters in the turbulent logarithmic region
    School of Aeronautics, Universidad Politécnica de Madrid, 28040 Madrid, Spain
    不详
    不详
    不详
    J. Fluid Mech., 2006, (329-358):
  • [49] Space-time analogy of self-similar intense vortices
    Vatistas, Georgios H.
    Aboelkassem, Yasser
    AIAA Journal, 2006, 44 (04): : 912 - 917
  • [50] Self-similar vortex clusters in the turbulent logarithmic region
    del Álamo, Juan C.
    Jiménez, Javier
    Zandonade, Paulo
    Moser, Robert D.
    Journal of Fluid Mechanics, 2006, 561 : 329 - 358