Unique solvability of the water waves problem in Sobolev spaces


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Studying the problem of unsteady waves on the surface of an infinitely deep heavy incompressible ideal fluid, we derive equations for the height of the free surface as well as the vertical and horizontal components of velocity on the free surface. We prove that the initial-boundary value water waves problem is short-time solvable in Sobolev spaces.

作者简介

V. Nalimov

Lavrent’ev Institute of Hydrodynamics

编辑信件的主要联系方式.
Email: smj@math.nsc.ru
俄罗斯联邦, Novosibirsk

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