On the global regularity of subcritical
نویسندگان
چکیده
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 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.
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