Burgers Turbulence and Random Lagrangian Systems

被引：0

作者：

R. Iturriaga

K. Khanin

机构：

[1] Centro de Investigacion en Matematica,

[2] Apartado Postal 402,undefined

[3] Guanajuato Gto.,undefined

[4] 36000 Mexico. E-mail: renato@cimat.mx,undefined

[5] Isaac Newton Institute for Mathematical Sciences,undefined

[6] University of Cambridge,undefined

[7] 20 Clarkson Road,undefined

[8] Cambridge CB3 OEH,undefined

[9] UK. E-mail: K.Khanin@newton.cam.ac.uk,undefined

[10] Department of Mathematics,undefined

[11] Heriot-Watt University,undefined

[12] Edinburgh,undefined

[13] UK,undefined

[14] Landau Institute for Theoretical Physics,undefined

[15] Moscow,undefined

[16] Russia,undefined

来源：

Communications in Mathematical Physics | 2003年 / 232卷

关键词：

Viscosity; Stationary Distribution; Invariant Measure; Arbitrary Dimension; Burger Equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a spatially periodic inviscid random forced Burgers equation in arbitrary dimension and the random time-dependent Lagrangian system related to it. We construct a unique stationary distribution for ``viscosity'' solutions of the Burgers equation. We also show that with probability 1 there exists a unique minimizing trajectory for the random Lagrangian system which generates a non-trivial ergodic invariant measure for the non-random skew-product extension of the Lagrangian system.

引用

页码：377 / 428

页数：51

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