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arXiv · 0902.1582

A sharp local blow-up condition for Euler-Poisson equations with attractive forcing

Bin Cheng·Eitan Tadmor
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Abstract

We improve the recent result of Chae & Tadmor in [Comm. Math. Sci. 6(3) (2008) 785-789], proving a one-sided threshold condition which leads to finite-time breakdown of the Euler-Poisson equations in arbitrary dimension n.

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Bin Cheng, Eitan Tadmor. 2009-02-10. A sharp local blow-up condition for Euler-Poisson equations with attractive forcing. https://doi.org/10.1016/j.physd.2009.08.008

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