Department of Mathematics2024-11-0920191300-009810.3906/mat-1806-762-s2.0-85077525241https://hdl.handle.net/20.500.14288/3283In this paper we consider the Euler-Poisson system (describing a plasma consisting of positive ions with a negligible temperature and massless electrons in thermodynamical equilibrium) on the Sobolev spaces H-s(R-3) , s > 5/2. Using a geometric approach we show that for any time T > 0 the corresponding solution map, (rho(0), u(0)) bar right arrow (rho(T), u(T)) , is nowhere locally uniformly continuous. On the other hand it turns out that the trajectories of the ions are analytic curves in R-3.pdfMathematicsJournal Article1303-6149https://doi.org/10.3906/mat-1806-76497971800009Q2NOIR02012