Generalized solutions of the Vlasov-Poisson system with singular data

Details Generalized solutions of the Vlasov-Poisson system with singular data Generalized solutions of the Vlasov-Poisson system with singular data

2006-01-23

arxiv.org/abs/math/0601552v4

J. Math. Anal. Appl. 340, 575-587, (2008)

Mathematics

Analysis of PDEs

16 pages, LaTeX, final version, to apppear in JMAA

Scientific paper

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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