A priori estimates for free boundary problem of 3D incompressible inviscid rotating Boussinesq equations

被引：1

作者：

Hao, Chengchun ^{[1
,2
]}

Zhang, Wei ^{[3
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China

[2] Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China

[3] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

来源：

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2023年 / 74卷 / 02期

关键词：

Free boundary problem; Rotating Boussinesq equations; Rotating MHD; a priori estimates; WATER-WAVE PROBLEM; BLOW-UP CRITERION; WELL-POSEDNESS; FREE-SURFACE; EULER EQUATIONS; LOCAL EXISTENCE; SOBOLEV SPACES; MOTION; LIQUID; REGULARITY;

D O I：

10.1007/s00033-023-01974-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the three-dimensional rotating Boussinesq equations (the "primitive" equations of geophysical fluid flows). Inspired by Christodoulou and Lindblad (Pure Appl Math 53:1536-1602, 2000), we establish a priori estimates of Sobolev norms for free boundary problem of inviscid rotating Boussinesq equations under the Taylor-type sign condition on the initial free boundary. Using the same method, we can also obtain a priori estimates for the incompressible inviscid rotating MHD system with damping.

引用

页数：21

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