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Conformal mapping, Padé approximants, and an example of flow with a significant deformation of the free boundary
Published online by Cambridge University Press: 07 August 2014
Abstract
A problem of plane inertial motion of an ideal incompressible fluid with a free boundary, which initially has a quadratic velocity field, is studied by semi-analytical methods. A conformal mapping of the domain occupied by the fluid onto a unit circle is sought in the form of a power series with respect to time. Summation of series is performed by using Padé approximants.
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- Copyright © Cambridge University Press 2014
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