孤立无碰撞等离子体的出射辐射
Outgoing radiation from an isolated collisionless plasma
摘要:
本文研究了相对论性Vlasov-Maxwell方程组解在未来零无穷远处的渐近性质,作者在以前的工作中建立了该方程组在小数据下的整体存在性.这些解描述了与入射辐射隔离的无碰撞等离子体。结果表明,一个非负的量与等离子体减少作为一个后果的能量耗散的形式输出辐射。这个量代表了广义相对论中邦迪质量的类似物。
英文摘要:
The asymptotic properties at future null infinity of the solutions of the relativistic Vlasov-Maxwell system whose global existence for small data has been established by the author in a previous work are investigated. These solutions describe a collisionless plasma isolated from incoming radiation. It is shown that a non-negative quantity associated to the plasma decreases as a consequence of the dissipation of energy in form of outgoing radiation. This quantity represents the analogue of the Bondi mass in general relativity.
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