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Is dispersion a stabilizing or destabilizing mechanism? Landau-damping in fast oscillating turbulent flows Titi, Edriss
Description
In this talk I will present a unified approach for the effect of fast rotation and dispersion as an averaging mechanism for, on the one hand, regularizing and stabilizing certain evolution equations, such as the Navier-Stokes and Burgers equations. On the other hand, I will also present some results in which large dispersion acts as a destabilizing mechanism for the long-time dynamics of certain dissipative evolution equations, such as the Kuramoto-Sivashinsky equation. In addition, I will present some new results concerning two- and three-dimensional turbulent flows with high Reynolds numbers in periodic domains, which exhibit ``Landau-damping" mechanism due to large spatial average in the initial data.
Item Metadata
Title |
Is dispersion a stabilizing or destabilizing mechanism? Landau-damping in fast oscillating turbulent flows
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-06-06T09:15
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Description |
In this talk I will present a unified approach for the
effect of fast rotation and dispersion as an averaging mechanism
for, on the one hand, regularizing and stabilizing certain evolution
equations, such as the Navier-Stokes and Burgers equations. On the other hand, I will also present some results in
which large dispersion acts as a destabilizing mechanism for the
long-time dynamics of certain dissipative evolution equations, such as the Kuramoto-Sivashinsky equation. In addition, I will present some new results concerning two- and three-dimensional turbulent flows with high Reynolds numbers in periodic domains, which exhibit ``Landau-damping" mechanism due to large spatial average in the initial data.
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Extent |
54 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Texas A&M University
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Series | |
Date Available |
2017-01-26
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0340077
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International