Global well-posedness of the free-surface incompressible Euler equations with damping

被引：4

作者：

Lian, Jiali ^{[1
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2019年 / 267卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Euler; Free boundary problems; Water waves; Damping; Global well-posedness; WATER-WAVE PROBLEM; EXPONENTIAL DECAY; SOBOLEV SPACES; TENSION; MOTION; REGULARITY; EXISTENCE; LIMIT;

D O I：

10.1016/j.jde.2019.02.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider a layer of an incompressible inviscid fluid, bounded below by a fixed solid boundary and above by a free moving boundary, in a horizontally periodic setting. The fluid dynamics is governed by the gravity-driven incompressible Euler equations with damping, and the effect of surface tension is neglected on the free surface. We prove that the problem is globally well-posed for the small initial data and that solutions decay to the equilibrium at an almost exponential rate. (c) 2019 Elsevier Inc. All rights reserved.

引用

页码：1066 / 1094

页数：29

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