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

Dongho Chae

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arXiv · 0803.1788

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

Dongho Chae

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Abstract

We 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.

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Dongho Chae. 2008-03-12. The finite time blow-up for the Euler-Poisson equations in $\Bbb R^n$. https://arxiv.org/abs/0803.1788

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