论文标题
磁化速度的传播和磁化vlasov-Poisson系统的独特性的传播
Propagation of velocity moments and uniqueness for the magnetized Vlasov-Poisson system
论文作者
论文摘要
我们在整个空间中具有外部磁场的三维vlasov-波森系统提供了两个结果。首先，当磁场均匀且依赖于时间依赖时，我们研究了系统溶液的速度矩传播。我们将经典力矩方法与感应过程相结合，具体取决于回旋期$ t_c = || b || _ {\ infty}^{ - 1} $。这使我们能够像在未磁性的情况下一样获得订单$ k> 2 $的速度矩的传播，并在整个空间案例中以及订单$ k> 3 $在期刊中。其次，这次采用一个取决于时间和位置的一般磁场，我们设法通过Miot Arxiv扩展了结果：1409.6988V1 [MATH.AP]，涉及Vlasov- poisson的独特性 - poisson- poisson- poisson。
We present two results regarding the three-dimensional Vlasov--Poisson system in the full space with an external magnetic field. First, we investigate the propagation of velocity moments for solutions to the system when the magnetic field is uniform and time-dependent. We combine the classical moment approach with an induction procedure depending on the cyclotron period $T_c=||B||_{\infty}^{-1}$. This allows us to obtain, like in the unmagnetized case, the propagation of velocity moments of order $k>2$ in the full space case and of order $k>3$ in the periodic case. Second, this time taking a general magnetic field that depends on both time and position, we manage to extend a result by Miot arXiv:1409.6988v1 [math.AP] regarding uniqueness for Vlasov--Poisson to the magnetized framework.
