| 一般无界区域中带有阻尼的三维可压缩欧拉方程 |
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| 引用本文： | 杨佳琦,袁萌.一般无界区域中带有阻尼的三维可压缩欧拉方程[J].数学年刊A辑(中文版),2019,40(4):427-442. |
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| 作者姓名： | 杨佳琦 袁萌 |
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| 作者单位： | 中国科学院力学研究所, 流固耦合系统力学重点实验室, 北京 100190.,南京大学数学系, 南京 210093. |
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| 摘 要： | 考虑在一般的三维无界区域中的具有滑移边界条件的带有阻尼的可压缩欧拉方程.当初始值接近平衡态时,获得了全局存在性和唯一性.同时,研究了在半空间情形下系统的衰减率.证明了经典解的L~2范数以(1+t)~(-3/4)衰减到常值背景解.
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| 关 键 词： | Euler equations Damping Unbounded domain |
| 收稿时间： | 2017/11/22 0:00:00 |
| 修稿时间： | 2018/11/4 0:00:00 |
The 3D Compressible Euler Equations with Damping in the General Unbounded Domain |
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| YANG Jiaqi and YUAN Meng.The 3D Compressible Euler Equations with Damping in the General Unbounded Domain[J].Chinese Annals of Mathematics,2019,40(4):427-442. |
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| Authors: | YANG Jiaqi and YUAN Meng |
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| Institution: | Key Laboratory for Mechanics in Fluid Solid CouplingSystems, Institute of Mechanics, Chinese Academy of Sciences,Beijing 100190, China. and Department of Mathematics, Nanjing University,Nanjing 210093, China. |
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| Abstract: | In this paper, the authors consider the 3D damped compressible Euler equations in the
general unbounded domain with slip boundary condition. The authors obtain the global existence and uniqueness when
the initial data is near its equilibrium. Meanwhile, they also investigate the decay rates of the system in the half space.
The authors show that the classical solution decays in the $L^2${-}norm to the constant background state at the rate of $(1 + t)^{-\frac 34}$. |
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| Keywords: | Euler equations Damping Unbounded domain |
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