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arXiv · 1901.10639

Focusing Solutions of the Vlasov-Poisson System

Katherine Zhiyuan Zhang
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Abstract

We study smooth, spherically-symmetric solutions to the Vlasov-Poisson system and relativistic Vlasov-Poisson system in the plasma physical case. We construct solutions that initially possess arbitrarily small C^k norms for the charge densities and the electric fields, but attain arbitrarily large L^1 norms of them at some later time.

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Katherine Zhiyuan Zhang. 2019-08-28. Focusing Solutions of the Vlasov-Poisson System. https://arxiv.org/abs/1901.10639

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