Global weak solution of the Vlasov-Poisson system for small electrons mass
Global weak solution of the Vlasov-Poisson system for small electrons mass
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DOI：
10.1080/03605309108820802
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发表时间：
1991
影响因子：
1.9
通讯作者：
F. Bouchut
中科院分区：
文献类型：
--
作者：
F. Bouchut
我们正在研究具有两种粒子的Vlasov-Poisson系统的存在性和弱稳定性，其中电子被认为处于热平衡状态。这修改了泊松方程中的源项，并使用Marcinkiewicz空间M3中势的估计来获得近似的强紧性，使用新的正则化核保留了适当的能量不等式。
We are studying the existence and weak stability of a Vlasov–Poisson syste with two typs of particles , in which the electrons are supposed to be at thermal equilibrium. This modifies the source term in the Poisson equaitonm\, and estimates in the Marcinkiewicz space M3 for the potential are used to get the strong compactness of approximations using a new regularized kernal which preservs an approriate energy inequality.