Cascades aléatoires et équations de Navier-Stokes stochastic cascades and navier-stokes equations

Yves Le Jan; Alain Sol Sznitman

doi:10.1016/s0764-4442(97)86952-2

Cascades aléatoires et équations de Navier-Stokes stochastic cascades and navier-stokes equations

Translated title of the contribution: Stochastic cascades and Navier-Stokes equations

Yves Le Jan, Alain Sol Sznitman

Mathematics

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

Abstract

This work concerns the incompressible Navier-Stokes equation 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 Markov process and of a composition rule defined along the associated tree. We derive from this representation new classes where global existence and uniqueness can be proven.

Translated title of the contribution	Stochastic cascades and Navier-Stokes equations
Original language	French
Pages (from-to)	823-826
Number of pages	4
Journal	Comptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume	324
Issue number	7
DOIs	https://doi.org/10.1016/s0764-4442(97)86952-2
State	Published - Apr 1997

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1016/s0764-4442(97)86952-2

Cite this

@article{960d73c723754f90b521a694ac10c4b3,

title = "Cascades al{\'e}atoires et {\'e}quations de Navier-Stokes stochastic cascades and navier-stokes equations",

abstract = "This work concerns the incompressible Navier-Stokes equation 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 Markov process and of a composition rule defined along the associated tree. We derive from this representation new classes where global existence and uniqueness can be proven.",

author = "{Le Jan}, Yves and Sznitman, {Alain Sol}",

year = "1997",

month = apr,

doi = "10.1016/s0764-4442(97)86952-2",

language = "French",

volume = "324",

pages = "823--826",

journal = "Comptes Rendus de l'Academie des Sciences - Series I: Mathematics",

issn = "0764-4442",

publisher = "Academie des sciences",

number = "7",

}

TY - JOUR

T1 - Cascades aléatoires et équations de Navier-Stokes stochastic cascades and navier-stokes equations

AU - Le Jan, Yves

AU - Sznitman, Alain Sol

PY - 1997/4

Y1 - 1997/4

N2 - This work concerns the incompressible Navier-Stokes equation 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 Markov process and of a composition rule defined along the associated tree. We derive from this representation new classes where global existence and uniqueness can be proven.

AB - This work concerns the incompressible Navier-Stokes equation 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 Markov process and of a composition rule defined 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=0031116720&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031116720&partnerID=8YFLogxK

U2 - 10.1016/s0764-4442(97)86952-2

DO - 10.1016/s0764-4442(97)86952-2

M3 - Article

AN - SCOPUS:0031116720

SN - 0764-4442

VL - 324

SP - 823

EP - 826

JO - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

JF - Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

IS - 7

ER -

Cascades aléatoires et équations de Navier-Stokes stochastic cascades and navier-stokes equations

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this