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

被引：0
作者：
Chengchun Hao
Wei Zhang
机构：
[1] Academy of Mathematics and Systems Science,School of Mathematical Sciences
[2] Chinese Academy of Sciences,School of Mathematical Sciences
[3] University of Chinese Academy of Sciences,undefined
[4] Capital Normal University,undefined
来源：
Zeitschrift für angewandte Mathematik und Physik | 2023年 / 74卷
关键词：
Free boundary problem; Rotating Boussinesq equations; Rotating MHD; a priori estimates; 35Q35; 35R35; 76U05;
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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.
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