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Generalized solutions of the Vlasov-Poisson system with singular data |
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| Authors: | Irina Kmit Roland Steinbauer |
| Affiliation: | a Institute for Applied Problems of Mechanics and Mathematics, Ukrainian Academy of Sciences, Naukova St. 3b, 79060 Lviv, Ukraine b Fakultät für Mathematik, Universität Wien, Nordbergstrasse 15, 1090 Wien, Austria |
| 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. |
| Keywords: | Vlasov-Poisson system Singular limits Algebras of generalized functions |
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