凸有界区域上Vlasov-Poisson系统的渐近生长界

A. Albukhuttar
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引用次数: 2

摘要

研究了经典三维Vlasov-Poisson系统在凸有界区域上的光滑紧支持解。在等离子体物理的情况下,我们证明了分布函数的速度支持的大小在任何> 0时最多增长到16 21 +。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Asymptotic growth bounds for the Vlasov-Poisson system in convex bounded domains
We consider smooth compactly supported solutions to the classical threedimensional Vlasov-Poisson system in convex bounded domains. In the plasma physics case, we show that the size of the velocity support of the distribution function grows at most t 16 21 + for any > 0.
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