Global solution for the 3D gravity water waves system above a flat bottom

Xuecheng Wang

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arXiv · 1508.06227

Global solution for the 3D gravity water waves system above a flat bottom

Xuecheng Wang

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Abstract

Given any suitably small, localized, and smooth initial data, in this paper, we prove global regularity for the $3D$ finite depth gravity water wave system. As a byproduct, we rule out the small, localized traveling waves in $3D$, which do exist for the same system in $2D$.

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Xuecheng Wang. 2015-08-25. Global solution for the 3D gravity water waves system above a flat bottom. https://arxiv.org/abs/1508.06227

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