| Автор | M A Manna |
| Автор | A Neveu |
| Дата выпуска | 2001-08-01 |
| dc.description | A new nonlinear equation governing asymptotic dynamics of short surface waves is derived by using a short-wave perturbative expansion in an appropriate reduction of the Euler equations. This reduction corresponds to a Green-Naghdi-type equation with a cinematic discontinuity in the surface. The physical system under consideration is an ideal fluid (inviscid, incompressible and without surface tension) in which takes place a steady surface motion. An ideal surface wind on a lake which produces surface flow is a physical environment conducive to the above-mentioned phenomenon. The equation obtained admits peakon solutions with amplitude, velocity and width in interrelation. |
| Формат | application.pdf |
| Издатель | Institute of Physics Publishing |
| Название | Short-wave dynamics in the Euler equations |
| Тип | paper |
| DOI | 10.1088/0266-5611/17/4/317 |
| Electronic ISSN | 1361-6420 |
| Print ISSN | 0266-5611 |
| Журнал | Inverse Problems |
| Том | 17 |
| Первая страница | 855 |
| Последняя страница | 861 |
| Аффилиация | M A Manna; Physique Mathématique et Théorique, CNRS-UMR5825, Université de Montpellier II, 34095 Montpellier, France |
| Аффилиация | A Neveu; Physique Mathématique et Théorique, CNRS-UMR5825, Université de Montpellier II, 34095 Montpellier, France |
| Выпуск | 4 |
