The finite time blow-up for the Euler-Poisson equations in $\Bbb R^n$

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dc.creatorChae, Dongho
dc.date2008-03-12
dc.date.accessioned2026-07-07T09:26:24Z
dc.date.available2026-07-07T09:26:24Z
dc.descriptionWe prove the finite time blow-up for $C^1$ solutions to the Euler-Poisson equations in $\Bbb R^n$, $n\geq 1$, with/without background density for initial data satisfying suitable conditions. We also find a sufficient condition for the initial data such that $C^3$ solution breaks down in finite time for the compressible Euler equations for polytropic gas flows.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/0803.1788
dc.identifierhttp://arxiv.org/abs/0803.1788
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156742
dc.subjectAnalysis of PDEs
dc.subject35Q35, 35B30
dc.titleThe finite time blow-up for the Euler-Poisson equations in $\Bbb R^n$
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