Non UBC
DSpace
Yanxia Deng
2019-12-31T09:37:00Z
2019-07-03T09:51
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.
https://circle.library.ubc.ca/rest/handle/2429/73029?expand=metadata
50.0 minutes
video/mp4
Author affiliation: University of Victoria
Banff (Alta.)
10.14288/1.0387390
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Postdoctoral
BIRS Workshop Lecture Videos (Banff, Alta)
Mathematics
Partial Differential Equations, Fourier Analysis
A PDE approach to the N-body problem with strong force
Moving Image
http://hdl.handle.net/2429/73029