Stochastic cascades and 3-dimensional Navier-Stokes equations

Y. Le Jan; A. S. Sznitman

doi:10.1007/s004400050135

Stochastic cascades and 3-dimensional Navier-Stokes equations

Y. Le Jan, A. S. Sznitman

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English (US)
Pages (from-to)	343-366
Number of pages	24
Journal	Probability Theory and Related Fields
Volume	109
Issue number	3
DOIs	https://doi.org/10.1007/s004400050135
State	Published - Nov 1997

ASJC Scopus subject areas

Analysis
Statistics and Probability
Statistics, Probability and Uncertainty

Access to Document

10.1007/s004400050135

Cite this

@article{4050441252d04eef8515a3548c650d0e,

title = "Stochastic cascades and 3-dimensional Navier-Stokes equations",

abstract = "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.",

author = "{Le Jan}, Y. and Sznitman, {A. S.}",

year = "1997",

month = nov,

doi = "10.1007/s004400050135",

language = "English (US)",

volume = "109",

pages = "343--366",

journal = "Probability Theory and Related Fields",

issn = "0178-8051",

publisher = "Springer New York",

number = "3",

}

TY - JOUR

T1 - Stochastic cascades and 3-dimensional Navier-Stokes equations

AU - Le Jan, Y.

AU - Sznitman, A. S.

PY - 1997/11

Y1 - 1997/11

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0031522024&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031522024&partnerID=8YFLogxK

U2 - 10.1007/s004400050135

DO - 10.1007/s004400050135

M3 - Article

AN - SCOPUS:0031522024

SN - 0178-8051

VL - 109

SP - 343

EP - 366

JO - Probability Theory and Related Fields

JF - Probability Theory and Related Fields

IS - 3

ER -

Stochastic cascades and 3-dimensional Navier-Stokes equations

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this