Self-Averaged Scaling Limits for Random Parabolic Waves
| dc.creator | Fannjiang, Albert C. | |
| dc.date | 2003-05-30 | |
| dc.date | 2004-02-04 | |
| dc.date.accessioned | 2026-07-07T06:32:17Z | |
| dc.date.available | 2026-07-07T06:32:17Z | |
| dc.description | We consider 6 types of scaling limits for the Wigner-Moyal equation of the parabolic waves in random media, the limiting cases of which include the radiative transfer limit, the diffusion limit and the white-noise limit. We show under fairly general assumptions on the random refractive index field that sufficient amount of medium diversity (thus excluding the white-noise limit) leads to statistical stability or self-averaging in the sense that the limiting law is deterministic and is governed by various transport equations depending on the specific scaling involved. We obtain 6 different radiative transfer equations as limits. | |
| dc.identifier | https://arxiv.org/abs/math-ph/0306001 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0306001 | |
| dc.identifier | Archives of Rational Mechanics and Analysis 175:3 (2005), pp. 343 - 387 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/98859 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Probability | |
| dc.title | Self-Averaged Scaling Limits for Random Parabolic Waves | |
| dc.type | text |