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  The Vlasov-Poisson system with radiation damping

Kunze, M., & Rendall, A. D. (2001). The Vlasov-Poisson system with radiation damping. Annales Henri Poincare, 2, 857-886.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5690-7 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0013-5691-5
Genre: Journal Article

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 Creators:
Kunze, Markus, Author
Rendall, Alan D.1, Author              
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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 Abstract: We set up and analyze a model of radiation damping within the framework of continuum mechanics, inspired by a model of post-Newtonian hydrodynamics due to Blanchet, Damour and Schaefer. In order to simplify the problem as much as possible we replace the gravitational field by the electromagnetic field and the fluid by kinetic theory. We prove that the resulting system has a well-posed Cauchy problem globally in time for general initial data and in all solutions the fields decay to zero at late times. In particular, this means that the model is free from the runaway solutions which frequently occur in descriptions of radiation reaction.

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Language(s): eng - English
 Dates: 2001
 Publication Status: Published in print
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 Identifiers: eDoc: 3359
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Title: Annales Henri Poincare
Source Genre: Journal
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Pages: - Volume / Issue: 2 Sequence Number: - Start / End Page: 857 - 886 Identifier: -