Global existence and uniqueness theorem for 3D-Navier-Stokes system on T3 for small initial conditions in the spaces Φ (α)

Ya G. Sinai; Maxim D. Arnold

doi:10.4310/pamq.2008.v4.n1.a2

Global existence and uniqueness theorem for 3D-Navier-Stokes system on T₃ for small initial conditions in the spaces Φ (α)

Ya G. Sinai
, Maxim D. Arnold

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

3 Scopus citations

Abstract

We consider Cauchy problem for three-dimensional Navier-Stokes system with periodic boundary conditions with initial data from the space of pseudo-measures Φ(α). We provide global existence and uniqueness of the solution for sufficiently small initial data.

Original language	English (US)
Pages (from-to)	71-79
Number of pages	9
Journal	Pure and Applied Mathematics Quarterly
Volume	4
Issue number	1 PART 2
DOIs	https://doi.org/10.4310/pamq.2008.v4.n1.a2
State	Published - 2008

All Science Journal Classification (ASJC) codes

General Mathematics

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title = "Global existence and uniqueness theorem for 3D-Navier-Stokes system on T3 for small initial conditions in the spaces Φ (α)",

abstract = "We consider Cauchy problem for three-dimensional Navier-Stokes system with periodic boundary conditions with initial data from the space of pseudo-measures Φ(α). We provide global existence and uniqueness of the solution for sufficiently small initial data.",

author = "Sinai, \{Ya G.\} and Arnold, \{Maxim D.\}",

year = "2008",

doi = "10.4310/pamq.2008.v4.n1.a2",

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AU - Sinai, Ya G.

AU - Arnold, Maxim D.

PY - 2008

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N2 - We consider Cauchy problem for three-dimensional Navier-Stokes system with periodic boundary conditions with initial data from the space of pseudo-measures Φ(α). We provide global existence and uniqueness of the solution for sufficiently small initial data.

AB - We consider Cauchy problem for three-dimensional Navier-Stokes system with periodic boundary conditions with initial data from the space of pseudo-measures Φ(α). We provide global existence and uniqueness of the solution for sufficiently small initial data.

UR - https://www.scopus.com/pages/publications/57549105463

UR - https://www.scopus.com/pages/publications/57549105463#tab=citedBy

U2 - 10.4310/pamq.2008.v4.n1.a2

DO - 10.4310/pamq.2008.v4.n1.a2

M3 - Article

AN - SCOPUS:57549105463

SN - 1558-8599

VL - 4

SP - 71

EP - 79

JO - Pure and Applied Mathematics Quarterly

JF - Pure and Applied Mathematics Quarterly

IS - 1 PART 2

ER -

Global existence and uniqueness theorem for 3D-Navier-Stokes system on T₃ for small initial conditions in the spaces Φ (α)

Abstract

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