Convergence of the Klein-Gordon equation to the wave map equation with magnetic field
| dc.citation.epage | 589 | en_US |
| dc.citation.issue | 2 | en_US |
| dc.citation.spage | 584 | en_US |
| dc.citation.volume | 365 | en_US |
| dc.citation.woscount | 2 | |
| dc.contributor.author | Wu, Kung-Chien | en_US |
| dc.contributor.department | 數學建模與科學計算所(含中心) | zh_TW |
| dc.contributor.department | Graduate Program of Mathematical Modeling and Scientific Computing, Department of Applied Mathematics | en_US |
| dc.date.accessioned | 2014-12-08T15:07:15Z | |
| dc.date.available | 2014-12-08T15:07:15Z | |
| dc.date.issued | 2010-03-15 | en_US |
| dc.description.abstract | This paper is devoted to the proof of the convergence from the modulated cubic nonlinear defocusing Klein-Gordon equation with magnetic field to the wave map equation. More precisely, we discuss the nonrelativistic-semiclassical limit of the modulated cubic nonlinear Klein-Gordon equation with magnetic field where the Planck's constant h = epsilon and the speed of light c are related by c = epsilon(-alpha) for some alpha >= 1. When alpha = 1 the limit wave function satisfies the wave map with one extra term coming from the magnetic field. However, alpha > 1, the effect of the magnetic filed disappears and the limit is the typical wave map equation only. (C) 2009 Elsevier Inc. All rights reserved. | en_US |
| dc.identifier.doi | 10.1016/j.jmaa.2009.11.022 | en_US |
| dc.identifier.issn | 0022-247X | en_US |
| dc.identifier.journal | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | en_US |
| dc.identifier.uri | http://dx.doi.org/10.1016/j.jmaa.2009.11.022 | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/5725 | |
| dc.identifier.wosnumber | WOS:000274351200014 | |
| dc.language.iso | en_US | en_US |
| dc.subject | Klein-Gordon equation | en_US |
| dc.subject | Magnetic field | en_US |
| dc.subject | Wave map equation | en_US |
| dc.subject | Nonrelativistic-semiclassical limit | en_US |
| dc.title | Convergence of the Klein-Gordon equation to the wave map equation with magnetic field | en_US |
| dc.type | Article | en_US |