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Nonexistence of a Globally Stable Supersonic Conic Shock Wave for the Steady Supersonic Isothermal Euler Flow

Nonexistence of a Globally Stable Supersonic Conic Shock Wave for the Steady Supersonic Isothermal Euler Flow
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摘要 In this paper, for the full Euler system of the isothermal gas, we show that a globally stable supersonic conic shock wave solution does not exist when a uniform supersonic incoming flow hits an infinitely long and curved sharp conic body.
作者 Yuchen LI Gang XU
机构地区 Department of Mathematics & IMS Corresponding author. Department of Mathematics
出处 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2013年第4期557-574,共18页 数学年刊（B辑英文版）
基金 supported by the National Natural Science Foundation of China(Nos.11025105,10931007,11101190) the Doctorial Program Foundation of Ministry of Education of China(No.20090091110005) the Natural Science Fundamental Research Project of Jiangsu Colleges(No.10KLB110002)
关键词 Supersonic flow Conic shock Full Euler system Isothermal gas NONEXISTENCE 全局稳定 超音速 圆锥体 欧拉 等温 流量 激波 冲击波解
分类号 O354.3 [理学—流体力学] O175 [理学—基础数学]
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参考文献26

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Chinese Annals of Mathematics,Series B
2013年 第4期

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