Stochastic cascades and 3-dimensional Navier-Stokes equations

被引：0

作者：

Le Jan Y. ^{[1
]}

Sznitman A.S. ^{[2
]}

机构：

[1] Dept. de Mathématiques, Université Paris-Sud, Bat. 425

[2] Departement Mathematik, ETH-Zürich

来源：

Probability Theory and Related Fields | 1997年 / 109卷 / 3期

关键词：

AMS Subject Classification (1991): 60J80; 35Q30;

D O I：

10.1007/s004400050135

中图分类号：

学科分类号：

摘要：

In this article, we study the incompressible Navier-Stokes equations in ℝ3. The non linear integral equation satisfied by the Fourier transform of the Laplacian of the velocity field can be interpreted in terms of a branching process and a composition rule along the associated tree. We derive from this representation new classes where global existence and uniqueness can be proven.

引用

页码：343 / 366

页数：23

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