Generalized solutions of the Vlasov–Poisson system with singular data

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. © 2007 Elsevier Inc. All rights reserved