On the global regularity of sub-critical Euler-Poisson equations with pressure

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/116447We prove that the one-dimensional Euler-Poisson system driven by the Poisson forcing together with the usual γ-law pressure, γ &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.Analysis of PDEsMathematical Physics35Q35; 35B30On the global regularity of sub-critical Euler-Poisson equations with pressuretext