A note on the forced Burgers equation

被引：22
|
作者：
Eule, S [1 ]
Friedrich, R [1 ]
机构：
[1] Univ Munster, Inst Theoret Phys, D-48149 Munster, Germany
来源：
PHYSICS LETTERS A | 2006年 / 351卷 / 4-5期
关键词：
Probability distributions - Velocity - Partial differential equations;
D O I：
10.1016/j.physleta.2005.11.019
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We obtain the exact solution for the Burgers equation with a time-dependent forcing, which depends linearly on the spatial coordinate. For the case of a stochastic time dependence an exact expression for the joint probability distribution for the velocity fields at multiple spatial points is obtained. A connection with stretched vortices in hydrodynamic flows is discussed. (c) 2005 Elsevier B.V. All rights reserved.
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页码：238 / 241
页数：4
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