Estimates of Time-Periodic Fundamental Solutions to the Linearized Navier–Stokes Equations

Thomas Eiter; Mads Kyed

doi:10.1007/s00021-017-0332-7

Estimates of Time-Periodic Fundamental Solutions to the Linearized Navier–Stokes Equations

Thomas Eiter, Mads Kyed^*

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

Fundamental solutions to the time-periodic Stokes and Oseen linearizations of the Navier–Stokes equations in dimension n≥ 2 are investigated. Integrability properties and pointwise estimates are established.

Original language	English
Pages (from-to)	517-529
Number of pages	13
Journal	Journal of Mathematical Fluid Mechanics
Volume	20
Issue number	2
DOIs	https://doi.org/10.1007/s00021-017-0332-7
Publication status	Published - 2018 Jun 1
Externally published	Yes

Keywords

Fundamental solution
Navier–Stokes
Oseen
Stokes
Time-periodic

ASJC Scopus subject areas

Mathematical Physics
Condensed Matter Physics
Computational Mathematics
Applied Mathematics

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10.1007/s00021-017-0332-7

Cite this

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title = "Estimates of Time-Periodic Fundamental Solutions to the Linearized Navier–Stokes Equations",

abstract = "Fundamental solutions to the time-periodic Stokes and Oseen linearizations of the Navier–Stokes equations in dimension n≥ 2 are investigated. Integrability properties and pointwise estimates are established.",

keywords = "Fundamental solution, Navier–Stokes, Oseen, Stokes, Time-periodic",

author = "Thomas Eiter and Mads Kyed",

note = "Publisher Copyright: {\textcopyright} 2017, Springer International Publishing AG.",

year = "2018",

month = jun,

day = "1",

doi = "10.1007/s00021-017-0332-7",

language = "English",

volume = "20",

pages = "517--529",

journal = "Journal of Mathematical Fluid Mechanics",

issn = "1422-6928",

publisher = "Birkhauser Verlag Basel",

number = "2",

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T1 - Estimates of Time-Periodic Fundamental Solutions to the Linearized Navier–Stokes Equations

AU - Eiter, Thomas

AU - Kyed, Mads

PY - 2018/6/1

Y1 - 2018/6/1

N2 - Fundamental solutions to the time-periodic Stokes and Oseen linearizations of the Navier–Stokes equations in dimension n≥ 2 are investigated. Integrability properties and pointwise estimates are established.

AB - Fundamental solutions to the time-periodic Stokes and Oseen linearizations of the Navier–Stokes equations in dimension n≥ 2 are investigated. Integrability properties and pointwise estimates are established.

KW - Fundamental solution

KW - Navier–Stokes

KW - Oseen

KW - Stokes

KW - Time-periodic

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M3 - Article

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JO - Journal of Mathematical Fluid Mechanics

JF - Journal of Mathematical Fluid Mechanics

SN - 1422-6928

IS - 2

ER -

Estimates of Time-Periodic Fundamental Solutions to the Linearized Navier–Stokes Equations

Abstract

Keywords

ASJC Scopus subject areas

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