On the Global Regularity of Sub-Critical Euler-Poisson Equations with Pressure
MARYLAND UNIV COLLEGE PARK DEPT OF MATHEMATICS
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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.
- Theoretical Mathematics