44738

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Periodic boundary conditions for KdVBurgers equation on an interval.

ISBN/ISSN: 

0393-0440

DOI: 

10.1016/j.geomphys.2016.07.006

Наименование источника: 

  • Journal of Geometry and Physics

Обозначение и номер тома: 

Vol. 113

Город: 

  • Amsterdam

Издательство: 

  • Elsevier Science Publishing Company, Inc.

Год издания: 

2017

Страницы: 

250-256
Аннотация
For the KdV-Burgers equation on a nite interval the development of a regular pro le starting from a constant one under a periodic perturbation on the bound- ary is studied. The equation describes a medium which is both dissipative and dispersive. For an appropriate combination of dispersion and dissipation the asymptotic pro le looks like a periodical chain of shock fronts with a decreasing amplitude (similarly to the Burgers equation case). But due to dispersion each such front is followed by increasing oscillation leading to the next shock - like the ninth wave in rough seas. The development of such a pro le is preceded by an initial shock of a constant height.

Библиографическая ссылка: 

Самохин А.В. Periodic boundary conditions for KdVBurgers equation on an interval. // Journal of Geometry and Physics. 2017. Vol. 113. С. 250-256.