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A PDE approach to the N-body problem with strong force Deng, Yanxia
Description
In a joint work with S. Ibrahim, we use the idea of ground states and excited states in nonlinear dispersive equations (e.g. Klein-Gordon and Schr\"odinger equations) to characterize solutions in the N-body problem with strong force under some energy constraints. Indeed, relative equilibria of the N-body problem play a similar role as solitons in PDE. I will introduce the ground state and excited energy for the general N-body problem and give a conditional dichotomy of the global existence and singularity below the excited energy. This dichotomy is given by the sign of a threshold function. I will also talk about a restricted 3-body problem (Hill's lunar type problem) that has a very nice analogy to the nine-set theorem studied by Nakanishi-Schlag on NLKG.
Item Metadata
Title |
A PDE approach to the N-body problem with strong force
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2019-07-03T09:51
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Description |
In a joint work with S. Ibrahim, we use the idea of ground states and excited states in nonlinear dispersive equations (e.g. Klein-Gordon and Schr\"odinger equations) to characterize solutions in the N-body problem with strong force under some energy constraints. Indeed, relative equilibria of the N-body problem play a similar role as solitons in PDE. I will introduce the ground state and excited energy for the general N-body problem and give a conditional dichotomy of the global existence and singularity below the excited energy. This dichotomy is given by the sign of a threshold function. I will also talk about a restricted 3-body problem (Hill's lunar type problem) that has a very nice analogy to the nine-set theorem studied by Nakanishi-Schlag on NLKG.
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Extent |
50.0 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: University of Victoria
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Series | |
Date Available |
2019-12-31
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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 |
10.14288/1.0387390
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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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