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RAYLEIGH–TAYLOR INSTABILITY FOR COMPRESSIBLE ROTANG FLOWS

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成果类型:
期刊论文
作者:
Duan, Ran*;Jiang, Fei;Yin, Junping
通讯作者:
Duan, Ran
作者机构:
[Duan, Ran] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Jiang, Fei] Fuzhou Univ, Coll Math & Comp Sci, Fuzhou 361000, Peoples R China.
[Yin, Junping] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China.
通讯机构:
[Duan, Ran] C
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
Rayleigh-Taylor instability;rotation;Hadamard sense
关键词(中文):
瑞利-泰勒不稳定性;旋转流动;可压缩;SOBOLEV空间;恒定角速度;非线性问题;两层流体;自由界面
期刊:
数学物理学报(英文版)
ISSN:
0252-9602
年:
2015
卷:
35
期:
6
页码:
1359-1385
基金类别:
∗Received August 26, 2014; revised February 15, 2015. The research of Ran Duan was supported by three grants from the NSFC (11001096, 11471134), Program for Changjiang Scholars and Innovative Research Team in University (IRT13066); the research of Fei Jiang and Junping Yin was supported by NSFC (11101044, 11301083).
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
In this paper, we investigate the Rayleigh-Taylor instability problem for two compressible, immiscible, inviscid flows rotating with a constant angular velocity, and evolving with a free interface in the presence of a uniform gravitational field. First we construct the Rayleigh-Taylor steady-state solutions with a denser fluid lying above the free interface with the second fluid, then we turn to an analysis of the equations obtained from linearization around such a steady state. In the presence of uniform rotation, there is no natural variation...

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