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Long-Term Regularity of 3D Gravity Water Waves
Communications on Pure and Applied Mathematics ( IF 3.1 ) Pub Date : 2021-03-06 , DOI: 10.1002/cpa.21985
Fan Zheng 1
Affiliation  

We study a fundamental model in fluid mechanics—the 3D gravity water wave equation, in which an incompressible fluid occupying half the 3D space flows under its own gravity. In this paper we show long-term regularity of solutions whose initial data is small but not localized.

中文翻译:

3D重力水波的长期规律

我们研究了流体力学中的一个基本模型——3D 重力水波方程,其中占据 3D 空间一半的不可压缩流体在自身重力的作用下流动。在本文中,我们展示了初始数据较小但未本地化的解决方案的长期规律性。
更新日期:2021-03-06
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