On the global regularity of sub-critical Euler-Poisson equations with pressure
| dc.creator | Tadmor, Eitan | |
| dc.creator | Wei, Dongming | |
| dc.date | 2006-09-09 | |
| dc.date | 2006-11-05 | |
| dc.date.accessioned | 2026-07-07T07:24:40Z | |
| dc.date.available | 2026-07-07T07:24:40Z | |
| dc.description | 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 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. | |
| dc.identifier | https://arxiv.org/abs/math/0609250 | |
| dc.identifier | http://arxiv.org/abs/math/0609250 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/116447 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35Q35; 35B30 | |
| dc.title | On the global regularity of sub-critical Euler-Poisson equations with pressure | |
| dc.type | text |