Geodesic
On the global regularity of subcritical Euler–Poisson equations with pressure
Journal of the European Mathematical Society, Tome 10 (2008) no. 3, pp. 757-769.

Voir la notice de l'article provenant de la source EMS Press

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.
DOI : 10.4171/jems/129
Classification : 35-XX, 00-XX
Keywords: Euler–Poisson equations, Riemann Invariants, critical thresholds, global regularity 
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     author = {Eitan Tadmor and Dongming Wei},
     title = {On the global regularity of subcritical {Euler{\textendash}Poisson} equations with pressure},
     journal = {Journal of the European Mathematical Society},
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Eitan Tadmor; Dongming Wei. On the global regularity of subcritical Euler–Poisson equations with pressure. Journal of the European Mathematical Society, Tome 10 (2008) no. 3, pp. 757-769. doi : 10.4171/jems/129. http://geodesic.mathdoc.fr/articles/10.4171/jems/129/

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