Method of successive approximations for the problem of fluid flow in a deformable domain

A. B. Morgulis<sup>ab

a</sup> Southern Federal University
^b South Mathematical Institute of VSC RAS

Abstract: We justify an iterative procedure for the solving of the general initial-boundary value problem of the inviscid fluid dynamics in the case of deformable flow domain. Using this approach we prove the existence and uniqueness of the solution.

Key words: Euler equations, inviscid fluid.

UDC: 517.9

Received: 16.04.2009

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