63370

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Singularities in one-dimensional Euler flows

ISBN/ISSN: 

0393-0440

DOI: 

10.1016/j.geomphys.2021.104272

Наименование источника: 

  • Journal of Geometry and Physics

Обозначение и номер тома: 

Vol. 166

Город: 

  • Amsterdam

Издательство: 

  • Elsevier

Год издания: 

2021

Страницы: 

104272 (1-11)
Аннотация
In this paper, a system of one-dimensional gas dynamics equations is considered. This system is a particular case of Jacobi type systems and has a natural representation in terms of 2-forms on 0-jet space. We use this observation to find a new class of multivalued solutions for an arbitrary thermodynamic state model and discuss singularities of their projections to the space of independent variables for the case of an ideal gas. Caustics and discontinuity lines are found.

Библиографическая ссылка: 

Рооп М.Д. Singularities in one-dimensional Euler flows // Journal of Geometry and Physics. 2021. Vol. 166. С. 104272 (1-11).