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

• Autores: Eitan Tadmor, Dongming Wei
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 10, Nº 3, 2008, págs. 757-769
• Idioma: inglés
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• Resumen

  • We prove that the one-dimensional Euler�Poisson system driven by the Poisson forcing together with the usual $\gamma$-law pressure, $\gamma \geq 1$, 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.