About Analytic Solvability of Nonstationary Flow of Ideal Fluid with a Free Surface
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.
KeywordsHydrodynamics with free surface analytical solutions Dyachenko equations
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