This article is cited in 6 scientific papers (total in 6 papers)
Solvability of initial-boundary value problems for Euler's equations for flows of an ideal incompressible nonhomogeneous fluid and an ideal barotropic fluid bounded by free surfaces
Abstract:
The Nishida version of the abstract nonlinear Cauchy–Kovalevskaya theorem is used to obtain the results indicated in the title. In this connection, one has to construct special scales of Banach spaces and to estimate in them the solutions of elliptic equations
Citation:
V. I. Sedenko, “Solvability of initial-boundary value problems for Euler's equations for flows of an ideal incompressible nonhomogeneous fluid and an ideal barotropic fluid bounded by free surfaces”, Russian Acad. Sci. Sb. Math., 83:2 (1995), 347–368
\Bibitem{Sed94}
\by V.~I.~Sedenko
\paper Solvability of initial-boundary value problems for Euler's equations for flows of an~ideal incompressible nonhomogeneous fluid and an~ideal barotropic fluid bounded by free surfaces
\jour Russian Acad. Sci. Sb. Math.
\yr 1995
\vol 83
\issue 2
\pages 347--368
\mathnet{http://mi.mathnet.ru/eng/sm940}
\crossref{https://doi.org/10.1070/SM1995v083n02ABEH003595}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1310979}
\zmath{https://zbmath.org/?q=an:0844.76014}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1995TQ10300005}
Linking options:
https://www.mathnet.ru/eng/sm940
https://doi.org/10.1070/SM1995v083n02ABEH003595
https://www.mathnet.ru/eng/sm/v185/i11/p57
This publication is cited in the following 6 articles:
Nina L. Brietman, Victoria Suponitsky, Pinhas Z. Bar-Yoseph, “Nonlinear liquid sloshing dynamics in upright circular cylindrical containers with FSI effects: Post-processing of conventional finite element solutions by digital filters”, Ocean Engineering, 309 (2024), 118510
Nina L. Brietman, Pinhas Z. Bar-Yoseph, Victoria Suponitsky, “Nonlinear liquid sloshing dynamics: Post-processing of conventional finite element solutions by digital filters”, Ocean Engineering, 249 (2022), 110837
Konstantin A. Shishmarev, Alexander A. Papin, “Uniqueness of a solution of an ice plate oscillation problem in a channel”, Zhurn. SFU. Ser. Matem. i fiz., 11:4 (2018), 449–458
I.Yu. Gejadze, G.J.M. Copeland, “Open Boundary Control Problem for Navier–Stokes Equations Including a Free Surface: Adjoint Sensitivity Analysis”, Computers & Mathematics with Applications, 52:8-9 (2006), 1243
Gejadze I.Yu. Copeland G.J.M. Navon I.M., “Open Boundary Control Problem for Navier–Stokes Equations Including a Free Surface: Data Assimilation”, Comput. Math. Appl., 52:8-9 (2006), 1269–1288
Levermore C., Oliver M., “Analyticity of Solutions for a Generalized Euler Equation”, J. Differ. Equ., 133:2 (1997), 321–339
Citation in format AMSBIB
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