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

Dongho Chae

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

Analysis of PDEs 2008-03-13 v1

Authors: Dongho Chae

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.

Keywords

Euler-Poisson equations finite time blow-up C^1 solutions background density compressible Euler equations polytropic gas flows mathematical analysis

Cite

@article{arxiv.0803.1788,
  title  = {The finite time blow-up for the Euler-Poisson equations in $\Bbb R^n$},
  author = {Dongho Chae},
  journal= {arXiv preprint arXiv:0803.1788},
  year   = {2008}
}

Comments

11 pages

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