The Vlasov-Poisson System with Radiation Damping

被引：0

作者：

M. Kunze

A.D. Rendall

机构：

[1] Zentrum Mathematik,

[2] TU München,undefined

[3] Gabelsbergerstrasse 49,undefined

[4] D-80333 München,undefined

[5] Germany,undefined

[6] e-mail: mkunze@mathematik.tu-muenchen.de,undefined

[7] Max-Planck-Institut für Gravitationsphysik,undefined

[8] Am Mühlenberg 1,undefined

[9] D-14476 Golm,undefined

[10] Germany,undefined

[11] e-mail: rendall@aei-potsdam.mpg.de,undefined

来源：

Annales Henri Poincaré | 2001年 / 2卷

关键词：

Initial Data; Cauchy Problem; Electromagnetic Field; Late Time; Gravitational Field;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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 Schäfer. 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.

引用

页码：857 / 886

页数：29