The Vlasov-Poisson system with radiation damping

Details The Vlasov-Poisson system with radiation damping The Vlasov-Poisson system with radiation damping

2000-12-22

arxiv.org/abs/math-ph/0012041v1

Physics

Mathematical Physics

Scientific paper

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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