| Форма представления | Статьи в российских журналах и сборниках |
| Год публикации | 2024 |
| Язык | английский |
|
Алимов Марс Мясумович, автор
|
| Библиографическое описание на языке оригинала |
Alimov M.M. Exact Formulas for Estimating the Area of Flow Regions in Free Boundary Problems / M.M. Alimov // Russian Mathematics. 2024. - Vol. 68, No. 5. - P. 66–71.
|
| Аннотация |
An effective technique is proposed for obtaining exact formulas for estimating the area of flow regions in two-dimensional fluid flow problems with free boundaries, that allow an exact solution in terms of elliptic functions. The effectiveness of the technique is demonstrated using a specific example of the problem of capillary waves on the surface of a liquid of finite depth. This example is characterized by mirror symmetry of the flow region, but the technique can be generalized to the case of other symmetry of the flow region. |
| Ключевые слова |
potential flow, complex variable, elliptic function, residue |
| Название журнала |
Russian Mathematics
|
| URL |
https://link.springer.com/article/10.3103/S1066369X24700361 |
| Пожалуйста, используйте этот идентификатор, чтобы цитировать или ссылаться на эту карточку |
https://repository.kpfu.ru/?p_id=303468 |
Полная запись метаданных  |
| Поле DC |
Значение |
Язык |
| dc.contributor.author |
Алимов Марс Мясумович |
ru_RU |
| dc.date.accessioned |
2024-01-01T00:00:00Z |
ru_RU |
| dc.date.available |
2024-01-01T00:00:00Z |
ru_RU |
| dc.date.issued |
2024 |
ru_RU |
| dc.identifier.citation |
Alimov M.M. Exact Formulas for Estimating the Area of Flow Regions in Free Boundary Problems / M.M. Alimov // Russian Mathematics. 2024. - Vol. 68, No. 5. - P. 66–71.
|
ru_RU |
| dc.identifier.uri |
https://repository.kpfu.ru/?p_id=303468 |
ru_RU |
| dc.description.abstract |
Russian Mathematics |
ru_RU |
| dc.description.abstract |
An effective technique is proposed for obtaining exact formulas for estimating the area of flow regions in two-dimensional fluid flow problems with free boundaries, that allow an exact solution in terms of elliptic functions. The effectiveness of the technique is demonstrated using a specific example of the problem of capillary waves on the surface of a liquid of finite depth. This example is characterized by mirror symmetry of the flow region, but the technique can be generalized to the case of other symmetry of the flow region. |
ru_RU |
| dc.language.iso |
ru |
ru_RU |
| dc.subject |
potential flow |
ru_RU |
| dc.subject |
complex variable |
ru_RU |
| dc.subject |
elliptic function |
ru_RU |
| dc.subject |
residue |
ru_RU |
| dc.title |
Exact Formulas for Estimating the Area of Flow Regions in Free Boundary Problems |
ru_RU |
| dc.type |
Статьи в российских журналах и сборниках |
ru_RU |
|
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