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In this paper we consider the Euler-Poisson system (describing a plasma made of ions with a negligible ion temperature) on the Sobolev spaces $H^s(\R^3)$, $s > 5/2$. Using a geometric… Click to show full abstract
In this paper we consider the Euler-Poisson system (describing a plasma made of ions with a negligible ion temperature) 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, $(\rho_0,u_0) \mapsto (\rho(T),u(T))$, is nowhere locally uniformly continuous. On the other hand it turns out that the trajectories of the ions are analytic curves in $\R^3$.
Keywords:
poisson system;
solution map;
euler poisson
Journal Title: TURKISH JOURNAL OF MATHEMATICS
Year Published: 2019
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Journal Title: TURKISH JOURNAL OF MATHEMATICS
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!