arXiv Analytics

Sign in

arXiv:0902.1582 [math.AP]AbstractReferencesReviewsResources

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

Bin Cheng, Eitan Tadmor

Published 2009-02-10, updated 2009-02-14Version 2

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.

Related articles: Most relevant | Search more
arXiv:1001.0385 [math.AP] (Published 2010-01-03)
Stabilities for Euler-Poisson Equations with Repulsive Forces in R^N
arXiv:0907.0873 [math.AP] (Published 2009-07-05)
Stabilities for Euler-Poisson Equations in Some Special Dimensions
arXiv:2007.07960 [math.AP] (Published 2020-07-15)
Global solutions for the two dimensional Euler-Poisson system with attractive forcing