Low regularity well-posedness for the viscous surface wave equation

被引：0

作者：

Xiaoxia Ren

Zhaoyin Xiang

Zhifei Zhang

机构：

[1] Institute of Applied Physics and Computational Mathematics,School of Mathematical Sciences

[2] University of Electronic Science and Technology of China,School of Mathematical Sciences and LMAM

[3] Peking University,undefined

来源：

Science China Mathematics | 2019年 / 62卷

关键词：

surface wave; low regularity; Stokes estimate; 35A01; 35Q35; 35Q60;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we prove the local well-posedness of the viscous surface wave equation in low regularity Sobolev spaces. The key points are to establish several new Stokes estimates depending only on the optimal boundary regularity and to construct a new iteration scheme on a known moving domain. Our method could be applied to some other fluid models with free boundary.

引用

页码：1887 / 1924

页数：37

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