Effective dynamics for boson stars

Fröhlich, J. and Jonsson, B. L. G. and Lenzmann, E.. (2007) Effective dynamics for boson stars. Nonlinearity, 20 (5). pp. 1031-1075.

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Official URL: http://edoc.unibas.ch/49588/

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We study solutions close to solitary waves of the pseudo-relativistic Hartree equation describing boson stars under the influence of an external gravitational field. In particular, we analyse the long-time effective dynamics of such solutions. In essence, we establish a (long-time) stability result for solutions describing boson stars that move under the influence of an external gravitational field. The proof of our main result tackles difficulties that are absent when deriving similar results on effective solitary wave motions for nonlinear Schrödinger equations or nonlinear wave equations. This is due to the fact that the pseudo-relativisitic Hartree equation does not exhibit Galilean or Lorentz covariance.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Mathematik > Analysis (Lenzmann)
UniBasel Contributors:Lenzmann, Enno
Item Type:Article, refereed
Article Subtype:Research Article
Publisher:Institute of Physics Publishing
Note:Publication type according to Uni Basel Research Database: Journal article
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Last Modified:28 Nov 2017 08:15
Deposited On:28 Nov 2017 08:15

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