Critical Thresholds in 2D Restricted Euler-Poisson Equations
| dc.creator | Liu, Hailiang | |
| dc.creator | Tadmor, Eitan | |
| dc.date | 2002-03-15 | |
| dc.date | 2002-03-15 | |
| dc.date.accessioned | 2026-07-07T04:47:04Z | |
| dc.date.available | 2026-07-07T04:47:04Z | |
| dc.description | We provide a complete description of the critical threshold phenomena for the two-dimensional localized Euler-Poisson equations, introduced by the authors in [Liu & Tadmor, Comm. Math Phys., To appear]. Here, the questions of global regularity vs. finite-time breakdown for the 2D Restricted Euler-Poisson solutions are classified in terms of precise explicit formulae, describing a remarkable variety of critical threshold surfaces of initial configurations. In particular, it is shown that the 2D critical thresholds depend on the relative size of three quantities: the initial density, the initial divergence as well as the initial spectral gap, that is, the difference between the two eigenvalues of the $2 \times 2$ initial velocity gradient. | |
| dc.identifier | https://arxiv.org/abs/math/0203145 | |
| dc.identifier | http://arxiv.org/abs/math/0203145 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63569 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | 35Q35; 35B30 | |
| dc.title | Critical Thresholds in 2D Restricted Euler-Poisson Equations | |
| dc.type | text |