| Автор | Galusinski, Cédric |
| Дата выпуска | 2000 |
| dc.description | The aim of this work is to establish, from a mathematical point of view, the limit α → +∞ in the system $ i \partial_t E+\nabla (\nabla . E)-\alpha^2 \nabla \times \nabla \times E =-|E|^{2\sigma}E, $ where $E:{\ensuremath{{\Bbb R}}}^3\rightarrow{\mathbb C}^3$. This corresponds to an approximation which is made in the context of Langmuir turbulence in plasma Physics. The L <sup>2</sup>-subcritical σ (that is σ ≤ 2/3) and the H <sup>1</sup>-subcritical σ (that is σ ≤ 2) are studied. In the physical case σ = 1, the limit is then studied for the $H^1({\ensuremath{{\Bbb R}}}^3)$ norm. |
| Формат | application.pdf |
| Издатель | EDP Sciences |
| Копирайт | © EDP Sciences, SMAI, 2000 |
| Тема | Nonlinear Schrödinger equation |
| Тема | singular perturbation. |
| Название | A singular perturbation problem in a system of nonlinear Schrödinger equation occurring in Langmuir turbulence |
| Тип | research-article |
| DOI | 10.1051/m2an:2000133 |
| Electronic ISSN | 1290-3841 |
| Print ISSN | 0764-583X |
| Журнал | ESAIM: Mathematical Modelling and Numerical Analysis |
| Том | 34 |
| Первая страница | 109 |
| Последняя страница | 125 |
| Аффилиация | Galusinski Cédric; Université Bordeaux I, Mathématiques Appliquées Bordeaux, ESA 5466 CNRS, 351 cours de la libération, 33400 Talence, France. (galusins@math.u-bordeaux.fr) |
| Выпуск | 1 |
