A sharp local blow-up condition for Euler-Poisson equations with attractive forcing
Analysis of PDEs
2015-05-13 v2
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.
Cite
@article{arxiv.0902.1582,
title = {A sharp local blow-up condition for Euler-Poisson equations with attractive forcing},
author = {Bin Cheng and Eitan Tadmor},
journal= {arXiv preprint arXiv:0902.1582},
year = {2015}
}