Semi-analytical study of the Voinovs problem Full article
| Journal |
European Journal of Applied Mathematics
ISSN: 0956-7925 |
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| Output data | Year: 2018, Volume: 30, Number: 2, Pages: 298-337 Pages count : 40 DOI: 10.1017/s0956792518000098 | ||||||
| Tags | Conformal mapping; free boundary flow; ideal incompressible fluid; Pade approximant | ||||||
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Abstract:
A problem from the class of unsteady plane flows of an ideal fluid with a free boundary is considered. A conformal mapping of the exterior of a unit circle onto the region occupied by the fluid is sought. The solution is constructed in the form of power series in time or Laurent series which are analytically continued with the use of Padé approximants and change of variables of a certain special type. The free boundary shape and the pressure and velocity distributions are found. Singularities of the solution are studied.
Cite:
KARABUT E.A.
, PETROV A.G.
, ZHURAVLEVA E.N.
Semi-analytical study of the Voinovs problem
European Journal of Applied Mathematics. 2018. V.30. N2. P.298-337. DOI: 10.1017/s0956792518000098 WOS Scopus РИНЦ OpenAlex
Semi-analytical study of the Voinovs problem
European Journal of Applied Mathematics. 2018. V.30. N2. P.298-337. DOI: 10.1017/s0956792518000098 WOS Scopus РИНЦ OpenAlex
Identifiers:
| Web of science: | WOS:000458887300004 |
| Scopus: | 2-s2.0-85042847186 |
| Elibrary: | 41789261 |
| OpenAlex: | W2789612178 |