TRANSPORT IN 3D VOLUME-PRESERVING FLOWS

被引：87

作者：

MACKAY, RS

机构：

[1] Nonlinear Systems Laboratory, Mathematics Institute, University of Warwick, Coventry

来源：

JOURNAL OF NONLINEAR SCIENCE | 1994年 / 4卷 / 04期

关键词：

VOLUME-PRESERVING FLOWS; SKELETON; LOCALLY MINIMAL FLUX; SNEAKY RETURNS;

D O I：

10.1007/BF02430637

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The idea of surfaces of locally minimal flux is introduced as a key concept for understanding transport in steady three-dimensional, volume-preserving flows. Particular attention is paid to the role of the skeleton formed by the equilibrium points, selected hyperbolic periodic orbits and cantori and connecting orbits, to which many surfaces of locally minimal flux can be attached. Applications are given to spheromaks (spherical vortices) and eccentric Taylor-Couette Flow.

引用

页码：329 / 354

页数：26

共 69 条

[1]

ABRAHAM RH, 1985, DYNAMICS GEOMETRY 3

[2]

ANGENENT S, 1991, IN PRESS AUG P WORKS

[3] STIRRING BY CHAOTIC ADVECTION [J].

AREF, H .

JOURNAL OF FLUID MECHANICS, 1984, 143 (JUN) :1-21

[4]

Arnold VI., 1978, MATH METHODS CLASSIC, DOI 10.1007/978-1-4757-1693-1

[5] ON A CLASS OF STEADY CONFINED STOKES FLOWS WITH CHAOTIC STREAMLINES [J].

BAJER, K ;

MOFFATT, HK .

JOURNAL OF FLUID MECHANICS, 1990, 212 :337-363

[6]

BAKKER PG, 1989, TOPOLOGICAL FLUID ME

[7]

BAKKER PG, 1990, TOPOLOGY 3D SAEPARAT, P297

[8] EXTENDED CHAOS AND DISAPPEARANCE OF KAM TRAJECTORIES [J].

BENSIMON, D ;

KADANOFF, LP .

PHYSICA D, 1984, 13 (1-2) :82-89

[9]

Broer H.W., 1984, ERGOD THEOR DYN SYST, V4, P509

[10] Particle paths in wavy vortices [J].

Broomhead, D. S. ;

Ryrie, Susan C. .

NONLINEARITY, 1988, 1 (03) :409-434

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