Snakes and Ladders: Localized Solutions of Plane Couette Flow

被引：128

作者：

Schneider, Tobias M. ^{[1
]}

Gibson, John F. ^{[2
]}

Burke, John ^{[3
]}

机构：

[1] Harvard Univ, Sch Engn & Appl Sci, Cambridge, MA 02138 USA

[2] Georgia Inst Technol, Sch Phys, Atlanta, GA 30332 USA

[3] Boston Univ, Dept Math & Stat, Boston, MA 02215 USA

来源：

PHYSICAL REVIEW LETTERS | 2010年 / 104卷 / 10期

关键词：

EXACT COHERENT STRUCTURES; EDGE STATES; PIPE-FLOW; TURBULENCE; PATTERNS; BIFURCATION; TRANSITION; SYSTEMS;

D O I：

10.1103/PhysRevLett.104.104501

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We demonstrate the existence of a large number of exact solutions of plane Couette flow, which share the topology of known periodic solutions but are localized in one spatial dimension. Solutions of different size are organized in a snakes-and-ladders structure strikingly similar to that observed for simpler pattern-forming partial differential equations. These new solutions are a step towards extending the dynamical systems view of transitional turbulence to spatially extended flows.

引用

页数：4

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