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Steady states of maximal entropy under prescribed mass and energy (with D. Bartolucci) Wolansky, Gershon
Description
We consider a non-local elliptic equation of exponential nonlinearity. The motivation for this equation is a variational problem for entropy maximization under prescribed mass and energy. We provide an unconditional existence and uniqueness proof in case of electrostatic (repulsive) self-interaction, and conditional existence and uniqueness in dimension two in the case of gravitational (attractive) self-interaction.
Item Metadata
Title |
Steady states of maximal entropy under prescribed mass and energy (with D. Bartolucci)
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2017-05-04T16:51
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Description |
We consider a non-local elliptic equation of exponential nonlinearity. The motivation for this equation is a variational problem for entropy maximization under prescribed mass and energy. We provide an unconditional existence and uniqueness proof in case of electrostatic (repulsive) self-interaction, and conditional existence and uniqueness in dimension two in the case of gravitational (attractive) self-interaction.
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Extent |
45 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Technion-Israel Institute of Technology
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Series | |
Date Available |
2017-11-02
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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 |
10.14288/1.0357441
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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 Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International