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Preprint 2006-032

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

Eitan Tadmor and Dongming Wei

Abstract: 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 22 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.

Paper:
Available as PDF (136 Kbytes).
Author(s):
Eitan Tadmor,
Dongming Wei,
Publishing information:
Comments:
Updated 2006-10-04.
Submitted by:
; 2006-09-19.