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arXiv · 0906.2290

Remarks on global existence of classical solution to multi-dimensional compressible Euler-Poisson equations with geometrical symmetry

Satoshi Masaki
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Abstract

We give a necessary and sufficient condition for the global existence of the classical solution to the Cauchy problem of the compressible Euler-Poisson equations with radial symmetry. We introduce a new quantity which describes the balance between the initial velocity of the flow and the strength of the force governed by Poisson equation.

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Satoshi Masaki. 2009-06-12. Remarks on global existence of classical solution to multi-dimensional compressible Euler-Poisson equations with geometrical symmetry. https://arxiv.org/abs/0906.2290

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