KFU. Card publication. Exact Formulas for Estimating the Area of Flow Regions in Free Boundary Problems

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FEDERAL UNIVERSITY

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EXACT FORMULAS FOR ESTIMATING THE AREA OF FLOW REGIONS IN FREE BOUNDARY PROBLEMS

Form of presentation

Articles in Russian journals and collections

Year of publication

2024

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Authors, employees of KFU

Alimov Mars Myasumovich, author

Bibliographic description in the original language

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.

Annotation

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.

Keywords

potential flow, complex variable, elliptic function, residue

The name of the journal

Russian Mathematics

URL

https://link.springer.com/article/10.3103/S1066369X24700361

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=303468&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Alimov Mars Myasumovich	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/eng/?p_id=303468&p_lang=2	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	Articles in Russian journals and collections	ru_RU