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

Journal of the European Mathematical Society (2008)

- Volume: 010, Issue: 3, page 757-769
- ISSN: 1435-9855

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topTadmor, 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 -

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