Density-dependent incompressible viscous fluid flow subject to linearly growing initial data

Daoyuan Fang; Matthias Georg Hieber; Ting Zhang

doi:10.1080/00036811.2011.608160

Density-dependent incompressible viscous fluid flow subject to linearly growing initial data

Daoyuan Fang, Matthias Georg Hieber^*, Ting Zhang

^*Corresponding author for this work

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

3 Citations (Scopus)

Abstract

Consider the density-dependent incompressible Navier-Stokes equations in ℝ ^N with linearly growing initial data at infinity. It is shown that under certain regularity and growth assumptions on the data, the above system admits a unique, local solution. Moreover, the solution can be extended for arbitrary T > 0, provided the data are small enough with respect to a certain norm.

Original language	English
Pages (from-to)	1477-1493
Number of pages	17
Journal	Applicable Analysis
Volume	91
Issue number	8
DOIs	https://doi.org/10.1080/00036811.2011.608160
Publication status	Published - 2012 Aug
Externally published	Yes

Keywords

density-dependent incompressible flow
linearly growing data
Navier-Stokes
paraproducts

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1080/00036811.2011.608160

Cite this

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title = "Density-dependent incompressible viscous fluid flow subject to linearly growing initial data",

abstract = "Consider the density-dependent incompressible Navier-Stokes equations in ℝ N with linearly growing initial data at infinity. It is shown that under certain regularity and growth assumptions on the data, the above system admits a unique, local solution. Moreover, the solution can be extended for arbitrary T > 0, provided the data are small enough with respect to a certain norm.",

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author = "Daoyuan Fang and Hieber, {Matthias Georg} and Ting Zhang",

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AU - Fang, Daoyuan

AU - Hieber, Matthias Georg

AU - Zhang, Ting

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N2 - Consider the density-dependent incompressible Navier-Stokes equations in ℝ N with linearly growing initial data at infinity. It is shown that under certain regularity and growth assumptions on the data, the above system admits a unique, local solution. Moreover, the solution can be extended for arbitrary T > 0, provided the data are small enough with respect to a certain norm.

AB - Consider the density-dependent incompressible Navier-Stokes equations in ℝ N with linearly growing initial data at infinity. It is shown that under certain regularity and growth assumptions on the data, the above system admits a unique, local solution. Moreover, the solution can be extended for arbitrary T > 0, provided the data are small enough with respect to a certain norm.

KW - density-dependent incompressible flow

KW - linearly growing data

KW - Navier-Stokes

KW - paraproducts

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ER -

Density-dependent incompressible viscous fluid flow subject to linearly growing initial data

Abstract

Keywords

ASJC Scopus subject areas

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