Topological shocks in Burgers turbulence

被引：14

作者：

Bec, J

Iturriaga, R

Khanin, K

机构：

[1] Observ Cote Azur, Lab GD CAssini, F-06304 Nice 4, France

[2] Ctr Invest Matemat, Guanajuato 36000, Mexico

[3] Isaac Newton Inst Math Sci, Cambridge CB3 0EH, England

[4] Heriot Watt Univ, Dept Math, Edinburgh EH14 4AS, Midlothian, Scotland

[5] LD Landau Theoret Phys Inst, Moscow 117332, Russia

来源：

PHYSICAL REVIEW LETTERS | 2002年 / 89卷 / 02期

关键词：

Boundary conditions - Hamiltonians - Navier Stokes equations - Shock waves - Topology - Viscosity;

D O I：

10.1103/PhysRevLett.89.024501

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The dynamics of the multidimensional randomly forced Burgers equation is studied in the limit of vanishing viscosity. It is shown both theoretically and numerically that the shocks have a universal global structure which is determined by the topology of the configuration space. This structure is shown to be particularly rigid for the case of periodic boundary conditions.

引用

页码：245011 / 245014

页数：4

共 21 条

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ANISOV S, 2000, NI00037SGT

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