JournalsjemsVol. 10 , No. 3DOI 10.4171/jems/129

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

  • Eitan Tadmor

    University of Maryland, College Park, United States
  • Dongming Wei

    University of Maryland, College Park, United States
On the global regularity of subcritical Euler–Poisson equations with pressure cover

Abstract

We prove that the one-dimensional Euler–Poisson system driven by the Poisson forcing together with the usual γ\gamma-law pressure, γ1\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.