论文标题

3D相对论Vlasov-Poisson系统的全球解决方案用于一类大数据

Global solution of the 3D relativistic Vlasov-Poisson system for a class of large data

论文作者

Wang, Xuecheng

论文摘要

对于一类带有径向对称性或圆柱形对称性的任意大型初始数据,我们证明了用于等离子物理案例的$ 3D $相对论Vlasov-Poisson系统的全局解决方案。两种情况都不施加紧凑的支持假设。 Glassey-Schaeffer(2001)先前工作中角动量的基本下限假设未对圆柱对称情况的初始数据施加。

For a class of arbitrary large initial data with radial symmetry or cylindrical symmetry, we prove the existence of global solutions for the $3D$ relativistic Vlasov-Poisson system for the plasma physics case. The compact support assumption is not imposed for both cases. The essential lower bound assumption of the angular momentum in the previous work of Glassey-Schaeffer (2001) is not imposed on the initial data for the cylindrical symmetry case.

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