Global mild solutions of Navier-Stokes equations

Zhen Lei; Fang Hua Lin

doi:10.1002/cpa.20361

Global mild solutions of Navier-Stokes equations

Zhen Lei, Fang Hua Lin

Mathematics

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

Abstract

We establish a global well-posedness of mild solutions to the three-dimensional, incompressible Navier-Stokes equations if the initial data are in the space χ^-1 defined by χ^-1 = {f ∈ D' (R³): R³ |ξ|^-1|f̂|d ξ ≤ ∞}and if the norms of the initial data in χ^-1 are bounded exactly by the viscosity coefficient μ.

Original language	English (US)
Pages (from-to)	1297-1304
Number of pages	8
Journal	Communications on Pure and Applied Mathematics
Volume	64
Issue number	9
DOIs	https://doi.org/10.1002/cpa.20361
State	Published - Sep 2011

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1002/cpa.20361

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title = "Global mild solutions of Navier-Stokes equations",

abstract = "We establish a global well-posedness of mild solutions to the three-dimensional, incompressible Navier-Stokes equations if the initial data are in the space χ-1 defined by χ-1 = {f ∈ D' (R3): R3 |ξ|-1|{\^f}|d ξ ≤ ∞}and if the norms of the initial data in χ-1 are bounded exactly by the viscosity coefficient μ.",

author = "Zhen Lei and Lin, {Fang Hua}",

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AB - We establish a global well-posedness of mild solutions to the three-dimensional, incompressible Navier-Stokes equations if the initial data are in the space χ-1 defined by χ-1 = {f ∈ D' (R3): R3 |ξ|-1|f̂|d ξ ≤ ∞}and if the norms of the initial data in χ-1 are bounded exactly by the viscosity coefficient μ.

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Global mild solutions of Navier-Stokes equations

Abstract

ASJC Scopus subject areas

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