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arXiv · 1811.05279

Continuity of the flow map for symmetric hyperbolic systems and its application to the Euler--Poisson system

Uwe Brauer·Lavi Karp
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Abstract

We show the continuity of the flow map for quasilinear symmetric hyperbolic systems with general right--hand sides in different functional setting, including weighted Sobolev spaces $H_{s,\delta}$. An essential tool to achieve the continuity of the flow map is a low regularity energy estimate. We then apply these results to the Euler--Poisson system which describes various systems of physical interests.

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Uwe Brauer, Lavi Karp. 2018-11-13. Continuity of the flow map for symmetric hyperbolic systems and its application to the Euler--Poisson system. https://arxiv.org/abs/1811.05279

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