The Reynolds number as the parameter in the strong solution to the Navier-Stokes equation

The Reynolds number as the parameter in the strong solution to the Navier-Stokes equation

It has been shown previously that the strong solution to the Navier-Stokes equation for an incompressible fluid can be written in the form of an integral mapping that involves the Green’s function of the heat equation. In this work, it is demonstrated that the Reynolds number is the main parameter t...

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Main Author: Kulish, Vladimir
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2018
Subjects:
Reynolds Number
Navier–Stokes Equations
DRNTU::Engineering::Mechanical engineering
Online Access:https://hdl.handle.net/10356/89297
http://hdl.handle.net/10220/46165
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-892972023-03-04T17:17:03Z The Reynolds number as the parameter in the strong solution to the Navier-Stokes equation Kulish, Vladimir School of Mechanical and Aerospace Engineering 10TH INTERNATIONAL CONFERENCE ON MATHEMATICAL PROBLEMS IN ENGINEERING, AEROSPACE AND SCIENCES: ICNPAA 2014 Reynolds Number Navier–Stokes Equations DRNTU::Engineering::Mechanical engineering It has been shown previously that the strong solution to the Navier-Stokes equation for an incompressible fluid can be written in the form of an integral mapping that involves the Green’s function of the heat equation. In this work, it is demonstrated that the Reynolds number is the main parameter that controls the solution stability. MOE (Min. of Education, S’pore) Published version 2018-10-02T03:15:21Z 2019-12-06T17:22:17Z 2018-10-02T03:15:21Z 2019-12-06T17:22:17Z 2015 Journal Article Kulish, V. (2014). The Reynolds number as the parameter in the strong solution to the Navier-Stokes equation. AIP Conference Proceedings 1637(1), 540-. doi:10.1063/1.4904622 0094-243X https://hdl.handle.net/10356/89297 http://hdl.handle.net/10220/46165 10.1063/1.4904622 en AIP Conference Proceedings © 2014 AIP Publishing. This paper was published in AIP Conference Proceedings and is made available as an electronic reprint (preprint) with permission of AIP Publishing. The published version is available at: [http://dx.doi.org/10.1063/1.4904622]. One print or electronic copy may be made for personal use only. Systematic or multiple reproduction, distribution to multiple locations via electronic or other means, duplication of any material in this paper for a fee or for commercial purposes, or modification of the content of the paper is prohibited and is subject to penalties under law. 5 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic Reynolds Number
Navier–Stokes Equations
DRNTU::Engineering::Mechanical engineering
spellingShingle Reynolds Number
Navier–Stokes Equations
DRNTU::Engineering::Mechanical engineering
Kulish, Vladimir
The Reynolds number as the parameter in the strong solution to the Navier-Stokes equation
description It has been shown previously that the strong solution to the Navier-Stokes equation for an incompressible fluid can be written in the form of an integral mapping that involves the Green’s function of the heat equation. In this work, it is demonstrated that the Reynolds number is the main parameter that controls the solution stability.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Kulish, Vladimir
format Article
author Kulish, Vladimir
author_sort Kulish, Vladimir
title The Reynolds number as the parameter in the strong solution to the Navier-Stokes equation
title_short The Reynolds number as the parameter in the strong solution to the Navier-Stokes equation
title_full The Reynolds number as the parameter in the strong solution to the Navier-Stokes equation
title_fullStr The Reynolds number as the parameter in the strong solution to the Navier-Stokes equation
title_full_unstemmed The Reynolds number as the parameter in the strong solution to the Navier-Stokes equation
title_sort reynolds number as the parameter in the strong solution to the navier-stokes equation
publishDate 2018
url https://hdl.handle.net/10356/89297
http://hdl.handle.net/10220/46165
_version_ 1759855229606559744

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