Turkish Journal of Mathematics
DOI
10.3906/mat-1806-76
Abstract
In 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 $H^s(\mathbb{R}^3)$, $s > 5/2$. Using a geometric approach we show that for any time $T > 0$ the corresponding solution map, $(\rho_0,u_0) \mapsto (\rho(T),u(T))$, is nowhere locally uniformly continuous. On the other hand it turns out that the trajectories of the ions are analytic curves in $\mathbb{R}^3$.
Keywords
Euler-Poisson system, solution map
First Page
2767
Last Page
2781
Recommended Citation
İNCİ, HASAN
(2019)
"On the regularity of the solution map of the Euler-Poisson system,"
Turkish Journal of Mathematics: Vol. 43:
No.
6, Article 9.
https://doi.org/10.3906/mat-1806-76
Available at:
https://journals.tubitak.gov.tr/math/vol43/iss6/9
