On the global regularity of sub-critical Euler-Poisson equations with pressure
Analysis of PDEs
2007-05-23 v3 Mathematical Physics
math.MP
Abstract
We prove that the one-dimensional Euler-Poisson system driven by the Poisson forcing together with the usual γ-law pressure, γ ≥ 1, admits global solutions for a large class of initial data. Thus, the Poisson forcing regularizes the generic finite-time breakdown in the 2x2 p-system. Global regularity is shown to depend on whether or not the initial configuration of the Riemann invariants and density crosses an intrinsic critical threshold.
Keywords
Cite
@article{arxiv.math/0609250,
title = {On the global regularity of sub-critical Euler-Poisson equations with pressure},
author = {Eitan Tadmor and Dongming Wei},
journal= {arXiv preprint arXiv:math/0609250},
year = {2007}
}