Generalized solutions of the Vlasov-Poisson system with singular data

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

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Analysis of PDEs, Mathematical Physics, 35A05; 46F30, 35Q72, 82C22

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http://salesiana.dossiersoluciones.com/handle/123456789/145357

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0601552
 http://arxiv.org/abs/math/0601552
 J. Math. Anal. Appl. 340, 575-587, (2008)

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arXiv