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

Eitan Tadmor; Dongming Wei

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

Eitan Tadmor·Dongming Wei

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Abstract

We 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.

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Eitan Tadmor, Dongming Wei. 2006-11-05. On the global regularity of sub-critical Euler-Poisson equations with pressure. https://arxiv.org/abs/math/0609250

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