Accession Number:

ADA455652

Title:

On the Global Regularity of Sub-Critical Euler-Poisson Equations with Pressure

Descriptive Note:

Conference paper

Corporate Author:

MARYLAND UNIV COLLEGE PARK DEPT OF MATHEMATICS

Personal Author(s):

Report Date:

2006-09-09

Pagination or Media Count:

12.0

Abstract:

We prove that the one-dimensional Euler-Poisson system driven by the Poisson forcing together with the usual -law pressure, 1, admits global solutions for a large class of initial data. Thus, the Poisson forcing regularizes the generic finite-time breakdown in the 2 2 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.

Subject Categories:

  • Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE