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

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

2009-02-10

arxiv.org/abs/0902.1582v2

Mathematics

Analysis of PDEs

Scientific paper

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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