Well-posedness of a nonstationary axisymmetric hydrodynamic problem with free surface Full article
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Siberian Mathematical Journal
ISSN: 0037-4466 , E-ISSN: 1573-9260 |
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| Output data | Year: 2017, Volume: 58, Number: 4, Pages: 564-577 Pages count : 14 DOI: 10.1134/S0037446617040024 | ||
| Tags | analytic solution; Cauchy problem; free boundary; ideal fluid | ||
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Abstract:
On assuming that the fluid motion is potential, we prove a local existence and uniqueness theorem for a time-analytic solution in an exact mathematical statement. We obtain a rigorous description of the initial stage of the nonstationary motion of an axisymmetric fluid droplet preceding the moment of evolutionary destruction (blow-up) of the free boundary. © 2017, Pleiades Publishing, Ltd.
Cite:
Belykh V.N.
Well-posedness of a nonstationary axisymmetric hydrodynamic problem with free surface
Siberian Mathematical Journal. 2017. V.58. N4. P.564-577. DOI: 10.1134/S0037446617040024 WOS Scopus OpenAlex
Well-posedness of a nonstationary axisymmetric hydrodynamic problem with free surface
Siberian Mathematical Journal. 2017. V.58. N4. P.564-577. DOI: 10.1134/S0037446617040024 WOS Scopus OpenAlex
Original:
Белых В.Н.
Корректность одной нестационарной осесимметричной задачи гидродинамики со свободной поверхностью
Сибирский математический журнал. 2017. Т.58. №4. С.728-744. DOI: 10.17377/smzh.2017.58.402
Корректность одной нестационарной осесимметричной задачи гидродинамики со свободной поверхностью
Сибирский математический журнал. 2017. Т.58. №4. С.728-744. DOI: 10.17377/smzh.2017.58.402
Identifiers:
| Web of science: | WOS:000408727100002 |
| Scopus: | 2-s2.0-85028533217 |
| OpenAlex: | W2751549584 |