Focusing Solutions of the Vlasov-Poisson System
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 Ck norms for the charge densities and the electric fields, but attain arbitrarily large L1 norms of them at some later time.
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