On a probabilistic description of small scale structures in 3D fluids

被引：19

作者：

Flandoli, F ^{[1
]}

机构：

[1] Univ Pisa, Dipartimento Matemat, I-56126 Pisa, Italy

来源：

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2002年 / 38卷 / 02期

关键词：

D O I：

10.1016/S0246-0203(01)01092-5

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

A vortex structure based on 3-dimensional Brownian motion is introduced. The interaction energy H-xy between different vortex filaments (x + W-t) and (y + Wt) is rigorously defined and proved to be finite. The divergence of H-xy as \x-y\ --> 0 is analyzed and used to prove that the total energy of the vortex structure is finite, under suitable assumptions. A relation with the intersection local time is established. (C) 2002 Editions scientifiques et medicales Elsevier SAS.

引用

页码：207 / 228

页数：22

共 30 条

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