On long-time behavior of monocharged and neutral plasma in one and one-half dimensions
On long-time behavior of monocharged and neutral plasma in one and one-half dimensions
复制标题
一维半维中单电荷和中性等离子体的长期行为
DOI：
10.3934/krm.2009.2.465
复制
发表时间：
2009
期刊：
影响因子：
--
通讯作者：
Jack Schaeffer
中科院分区：
文献类型：
--
作者：
R. Glassey;S. Pankavich;Jack Schaeffer
无碰撞等离子体（一种高温、低密度、电离的气体）的运动由弗拉索夫-麦克斯韦系统描述。在存在大速度时，相对论修正是有意义的，当假设粒子密度对称时，这正式成为相对论弗拉索夫-泊松系统。这些方程在单电荷（即，单一种类的离子）和中性情况。这些系统的解决方案的行为进行了大量的研究，产生的估计增长的粒子动量和下限，均匀的时间，规范的电荷密度。对于经典的Vlasov-Poisson系统，在相同的维数下，我们也给出了类似的结果，它排除了相对论效应。
The motion of a collisionless plasma - a high-temperature, low-density, ionized gas - is described by the Vlasov-Maxwell system. In the presence of large velocities, relativistic corrections are meaningful, and when symmetry of the particle densities is assumed this formally becomes the relativistic Vlasov-Poisson system. These equations are considered in one space dimension and two momentum dimensions in both the monocharged (i.e., single species of ion) and neutral cases. The behavior of solutions to these systems is studied for large times, yielding estimates on the growth of particle momenta and a lower bound, uniform-in-time, on norms of the charge density. We also present similar results in the same dimensional settings for the classical Vlasov-Poisson system, which excludes relativistic effects.