Blow-up of Smooth Solutions to the Euler-Poisson Equations

Yuexun Wang

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arXiv · 1310.7102

Blow-up of Smooth Solutions to the Euler-Poisson Equations

Yuexun Wang

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Abstract

In this paper, the finite time blow-up of smooth solutions to the Cauchy problem for full Euler-Poisson equations and isentropic Euler-Poisson equations with repulsive forces or attractive forces in high dimensions $(n\geq3)$ is proved for a large class of initial data. It is not required that the initial data has compact support or contains vacuum in any finite regions.

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Yuexun Wang. 2013-10-26. Blow-up of Smooth Solutions to the Euler-Poisson Equations. https://arxiv.org/abs/1310.7102

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