On the evolution of a finite volume of ideal incompressible fluid with a free surface


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Abstract

The local existence and uniqueness theorem for a time-analytical solution to the problem in a precise mathematical formulation has been proven by assuming the fluid motion to be potential.

About the authors

V. N. Belykh

Sobolev Institute of Mathematics

Author for correspondence.
Email: belykh@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga, Novosibirsk, 630090

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