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Generalized solutions of the Vlasov-Poisson system with singular data

Irina Kmit·Michael Kunzinger·Roland Steinbauer
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Abstract

We study spherically symmetric solutions of the Vlasov-Poisson system in the context of algebras of generalized functions. This allows to model highly concentrated initial configurations and provides a consistent setting for studying singular limits of the system. The proof of unique solvability in our approach depends on new stability properties of the system with respect to perturbations.

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Irina Kmit, Michael Kunzinger, Roland Steinbauer. 2007-09-12. Generalized solutions of the Vlasov-Poisson system with singular data. https://arxiv.org/abs/math/0601552

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