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A functionally-analytic method for modelling axial-symmetric flows of ideal fluid
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| Zeitschriftentitel: | Demonstratio Mathematica |
|---|---|
| Personen und Körperschaften: | |
| In: | Demonstratio Mathematica, 52, 2019, 1, S. 213-224 |
| Format: | E-Article |
| Sprache: | Englisch |
| veröffentlicht: |
Walter de Gruyter GmbH
|
| Schlagwörter: |
| author_facet |
Plaksa, Sergiy A. Plaksa, Sergiy A. |
|---|---|
| author |
Plaksa, Sergiy A. |
| spellingShingle |
Plaksa, Sergiy A. Demonstratio Mathematica A functionally-analytic method for modelling axial-symmetric flows of ideal fluid General Mathematics |
| author_sort |
plaksa, sergiy a. |
| spelling |
Plaksa, Sergiy A. 2391-4661 Walter de Gruyter GmbH General Mathematics http://dx.doi.org/10.1515/dema-2019-0018 <jats:title>Abstract</jats:title> <jats:p>We consider axial-symmetric stationary flows of the ideal incompressible fluid as an important case of potential solenoid fields. We use an integral expression of the Stokes flow function via the corresponding complex analytic function for solving a boundary value problem with respect to a steady streamline of the ideal incompressible fluid along an axial-symmetric body. We describe the solvability of the problem in terms of the singularities of the mentioned complex analytic function. The obtained results are illustrated by concrete examples of modelling of steady axial-symmetric flows.</jats:p> A functionally-analytic method for modelling axial-symmetric flows of ideal fluid Demonstratio Mathematica |
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Walter de Gruyter GmbH, 2019 |
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Walter de Gruyter GmbH, 2019 |
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Demonstratio Mathematica |
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| title |
A functionally-analytic method for modelling axial-symmetric flows of ideal fluid |
| title_unstemmed |
A functionally-analytic method for modelling axial-symmetric flows of ideal fluid |
| title_full |
A functionally-analytic method for modelling axial-symmetric flows of ideal fluid |
| title_fullStr |
A functionally-analytic method for modelling axial-symmetric flows of ideal fluid |
| title_full_unstemmed |
A functionally-analytic method for modelling axial-symmetric flows of ideal fluid |
| title_short |
A functionally-analytic method for modelling axial-symmetric flows of ideal fluid |
| title_sort |
a functionally-analytic method for modelling axial-symmetric flows of ideal fluid |
| topic |
General Mathematics |
| url |
http://dx.doi.org/10.1515/dema-2019-0018 |
| publishDate |
2019 |
| physical |
213-224 |
| description |
<jats:title>Abstract</jats:title>
<jats:p>We consider axial-symmetric stationary flows of the ideal incompressible fluid as an important case of potential solenoid fields. We use an integral expression of the Stokes flow function via the corresponding complex analytic function for solving a boundary value problem with respect to a steady streamline of the ideal incompressible fluid along an axial-symmetric body. We describe the solvability of the problem in terms of the singularities of the mentioned complex analytic function. The obtained results are illustrated by concrete examples of modelling of steady axial-symmetric flows.</jats:p> |
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| container_start_page | 213 |
| container_title | Demonstratio Mathematica |
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| description | <jats:title>Abstract</jats:title> <jats:p>We consider axial-symmetric stationary flows of the ideal incompressible fluid as an important case of potential solenoid fields. We use an integral expression of the Stokes flow function via the corresponding complex analytic function for solving a boundary value problem with respect to a steady streamline of the ideal incompressible fluid along an axial-symmetric body. We describe the solvability of the problem in terms of the singularities of the mentioned complex analytic function. The obtained results are illustrated by concrete examples of modelling of steady axial-symmetric flows.</jats:p> |
| doi_str_mv | 10.1515/dema-2019-0018 |
| facet_avail | Online, Free |
| format | ElectronicArticle |
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| id | ai-49-aHR0cDovL2R4LmRvaS5vcmcvMTAuMTUxNS9kZW1hLTIwMTktMDAxOA |
| imprint | Walter de Gruyter GmbH, 2019 |
| imprint_str_mv | Walter de Gruyter GmbH, 2019 |
| institution | DE-D275, DE-Bn3, DE-Brt1, DE-Zwi2, DE-D161, DE-Gla1, DE-Zi4, DE-15, DE-Rs1, DE-Pl11, DE-105, DE-14, DE-Ch1, DE-L229 |
| issn | 2391-4661 |
| issn_str_mv | 2391-4661 |
| language | English |
| last_indexed | 2024-03-01T13:47:32.506Z |
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| physical | 213-224 |
| publishDate | 2019 |
| publishDateSort | 2019 |
| publisher | Walter de Gruyter GmbH |
| record_format | ai |
| recordtype | ai |
| series | Demonstratio Mathematica |
| source_id | 49 |
| spelling | Plaksa, Sergiy A. 2391-4661 Walter de Gruyter GmbH General Mathematics http://dx.doi.org/10.1515/dema-2019-0018 <jats:title>Abstract</jats:title> <jats:p>We consider axial-symmetric stationary flows of the ideal incompressible fluid as an important case of potential solenoid fields. We use an integral expression of the Stokes flow function via the corresponding complex analytic function for solving a boundary value problem with respect to a steady streamline of the ideal incompressible fluid along an axial-symmetric body. We describe the solvability of the problem in terms of the singularities of the mentioned complex analytic function. The obtained results are illustrated by concrete examples of modelling of steady axial-symmetric flows.</jats:p> A functionally-analytic method for modelling axial-symmetric flows of ideal fluid Demonstratio Mathematica |
| spellingShingle | Plaksa, Sergiy A., Demonstratio Mathematica, A functionally-analytic method for modelling axial-symmetric flows of ideal fluid, General Mathematics |
| title | A functionally-analytic method for modelling axial-symmetric flows of ideal fluid |
| title_full | A functionally-analytic method for modelling axial-symmetric flows of ideal fluid |
| title_fullStr | A functionally-analytic method for modelling axial-symmetric flows of ideal fluid |
| title_full_unstemmed | A functionally-analytic method for modelling axial-symmetric flows of ideal fluid |
| title_short | A functionally-analytic method for modelling axial-symmetric flows of ideal fluid |
| title_sort | a functionally-analytic method for modelling axial-symmetric flows of ideal fluid |
| title_unstemmed | A functionally-analytic method for modelling axial-symmetric flows of ideal fluid |
| topic | General Mathematics |
| url | http://dx.doi.org/10.1515/dema-2019-0018 |