On the large-distance asymptotics of steady state solutions of the Navier-Stokes equations in 3D exterior domains

A. Korolev; Vladimir Sverak

doi:10.1016/j.anihpc.2011.01.003

On the large-distance asymptotics of steady state solutions of the Navier-Stokes equations in 3D exterior domains

A. Korolev
, Vladimir Sverak

School of Mathematics

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

44 Scopus citations

Abstract

We identify the leading term describing the behavior at large distances of the steady state solutions of the Navier-Stokes equations in 3D exterior domains with vanishing velocity at the spatial infinity.

Original language	English (US)
Pages (from-to)	303-313
Number of pages	11
Journal	Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire
Volume	28
Issue number	2
DOIs	https://doi.org/10.1016/j.anihpc.2011.01.003
State	Published - 2011

Bibliographical note

Funding Information:
* Corresponding author. E-mail address: [email protected] (V. Šverák). 1 Supported in part by NSF Grant DMS-0457061. 2 The objection was probably raised already by the classics in the 19th century.

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10.1016/j.anihpc.2011.01.003

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title = "On the large-distance asymptotics of steady state solutions of the Navier-Stokes equations in 3D exterior domains",

abstract = "We identify the leading term describing the behavior at large distances of the steady state solutions of the Navier-Stokes equations in 3D exterior domains with vanishing velocity at the spatial infinity.",

author = "A. Korolev and Vladimir Sverak",

note = "Funding Information: * Corresponding author. E-mail address: [email protected] (V. {\v S}ver{\'a}k). 1 Supported in part by NSF Grant DMS-0457061. 2 The objection was probably raised already by the classics in the 19th century.",

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AU - Korolev, A.

AU - Sverak, Vladimir

N1 - Funding Information: * Corresponding author. E-mail address: [email protected] (V. Šverák). 1 Supported in part by NSF Grant DMS-0457061. 2 The objection was probably raised already by the classics in the 19th century.

PY - 2011

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N2 - We identify the leading term describing the behavior at large distances of the steady state solutions of the Navier-Stokes equations in 3D exterior domains with vanishing velocity at the spatial infinity.

AB - We identify the leading term describing the behavior at large distances of the steady state solutions of the Navier-Stokes equations in 3D exterior domains with vanishing velocity at the spatial infinity.

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U2 - 10.1016/j.anihpc.2011.01.003

DO - 10.1016/j.anihpc.2011.01.003

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JO - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

JF - Annales de l'Institut Henri Poincare (C) Analyse Non Lineaire

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On the large-distance asymptotics of steady state solutions of the Navier-Stokes equations in 3D exterior domains

Abstract

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