A sharp local blow-up condition for Euler-Poisson equations with attractive forcing
arXiv:0902.1582 · doi:10.1016/j.physd.2009.08.008
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.