Generalized solutions of the Vlasov-Poisson system with singular data
Analysis of PDEs
2008-01-07 v4 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.math/0601552,
title = {Generalized solutions of the Vlasov-Poisson system with singular data},
author = {Irina Kmit and Michael Kunzinger and Roland Steinbauer},
journal= {arXiv preprint arXiv:math/0601552},
year = {2008}
}
Comments
16 pages, LaTeX, final version, to apppear in JMAA