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

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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• Nonlinear Dynamical Stability of Newtonian Rotating White Dwarfs and Supermassive Stars

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