| Форма представления | Статьи в зарубежных журналах и сборниках |
| Год публикации | 2023 |
| Язык | английский |
|
Алимов Марс Мясумович, автор
|
| Библиографическое описание на языке оригинала |
Alimov M.M., Exact Solution for Capillary Waves on the Surface of a Liquid of Finite Depth//Russian Mathematics. - 2023. - Vol.67, Is.9. - P.52-67. |
| Аннотация |
An attempt was made to reproduce, using the Schwartz function method, the well-known
exact solution of Kinnersley to the problem of capillary waves on the surface of a liquid of finite depth.
However, as a result, a new exact solution was obtained, which does not coincide with the solution of
Kinnersley, although it is expressed in the same terms of Jacobi elliptic functions. The results of an
independent numerical verification of the new solution are presented, confirming its reliability. The
parametric analysis of the solution revealed, in particular, a nonmonotonic dependence of the wavelength
and its amplitude on the Weber number. |
| Ключевые слова |
capillary wave, potential flow, complex variable, elliptic function |
| Название журнала |
Russian Mathematics
|
| URL |
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85179741588&doi=10.3103%2fS1066369X23090050&partnerID=40&md5=42aa7046e57a4953e03d281e70ada159 |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=296052 |
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Алимов Марс Мясумович |
ru_RU |
| dc.date.accessioned |
2023-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2023-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2023 |
ru_RU |
| dc.identifier.citation |
Alimov M.M., Exact Solution for Capillary Waves on the Surface of a Liquid of Finite Depth//Russian Mathematics. - 2023. - Vol.67, Is.9. - P.52-67. |
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/?p_id=296052 |
ru_RU |
| dc.description.abstract |
Russian Mathematics |
ru_RU |
| dc.description.abstract |
An attempt was made to reproduce, using the Schwartz function method, the well-known
exact solution of Kinnersley to the problem of capillary waves on the surface of a liquid of finite depth.
However, as a result, a new exact solution was obtained, which does not coincide with the solution of
Kinnersley, although it is expressed in the same terms of Jacobi elliptic functions. The results of an
independent numerical verification of the new solution are presented, confirming its reliability. The
parametric analysis of the solution revealed, in particular, a nonmonotonic dependence of the wavelength
and its amplitude on the Weber number. |
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
capillary wave |
ru_RU |
| dc.subject |
potential flow |
ru_RU |
| dc.subject |
complex variable |
ru_RU |
| dc.subject |
elliptic function |
ru_RU |
| dc.title |
Exact Solution for Capillary Waves on the Surface of a Liquid of Finite Depth |
ru_RU |
| dc.type |
Статьи в зарубежных журналах и сборниках |
ru_RU |
|
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