On the global regularity of subcritical Euler–Poisson equations with pressure

Tadmor, Eitan, and Wei, Dongming. "On the global regularity of subcritical Euler–Poisson equations with pressure." Journal of the European Mathematical Society 010.3 (2008): 757-769. <http://eudml.org/doc/277239>.

@article{Tadmor2008,
abstract = {We prove that the one-dimensional Euler–Poisson system driven by the Poisson forcing together with the usual $\gamma $-law pressure, $\gamma \ge 1$, admits global solutions for a large class of initial data. Thus, the Poisson forcing regularizes the generic finite-time breakdown in the $2\times 2$$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.},
author = {Tadmor, Eitan, Wei, Dongming},
journal = {Journal of the European Mathematical Society},
keywords = {Euler–Poisson equations; Riemann Invariants; critical thresholds; global regularity; Euler-Poisson equations; Riemann invariants; critical thresholds; global regularity},
language = {eng},
number = {3},
pages = {757-769},
publisher = {European Mathematical Society Publishing House},
title = {On the global regularity of subcritical Euler–Poisson equations with pressure},
url = {http://eudml.org/doc/277239},
volume = {010},
year = {2008},
}

TY - JOUR
AU - Tadmor, Eitan
AU - Wei, Dongming
TI - On the global regularity of subcritical Euler–Poisson equations with pressure
JO - Journal of the European Mathematical Society
PY - 2008
PB - European Mathematical Society Publishing House
VL - 010
IS - 3
SP - 757
EP - 769
AB - We prove that the one-dimensional Euler–Poisson system driven by the Poisson forcing together with the usual $\gamma $-law pressure, $\gamma \ge 1$, admits global solutions for a large class of initial data. Thus, the Poisson forcing regularizes the generic finite-time breakdown in the $2\times 2$$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.
LA - eng
KW - Euler–Poisson equations; Riemann Invariants; critical thresholds; global regularity; Euler-Poisson equations; Riemann invariants; critical thresholds; global regularity
UR - http://eudml.org/doc/277239
ER -