Abstract
We consider equations describing nonstationary motion of ideal liquid with free boundary in a gravitational field. Existence of analytic solutions of the above equations for a sufficiently small time interval is proved. Solutions from Sobolev spaces of finite order are also investigated.
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© 2008 Springer Science + Business Media B.V
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Shamin, R.V. (2008). About Analytic Solvability of Nonstationary Flow of Ideal Fluid with a Free Surface. In: Borisov, A.V., Kozlov, V.V., Mamaev, I.S., Sokolovskiy, M.A. (eds) IUTAM Symposium on Hamiltonian Dynamics, Vortex Structures, Turbulence. IUTAM Bookseries, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6744-0_28
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DOI: https://doi.org/10.1007/978-1-4020-6744-0_28
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-6743-3
Online ISBN: 978-1-4020-6744-0
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