STABILITY OF BOUNDARY LAYER TO AN OUTFLOW PROBLEM FOR A COMPRESSIBLE NON-NEWTONIAN FLUID IN THE HALF SPACE

doi:10.1007/s10473-019-0120-y

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (1): 259-283.doi: 10.1007/s10473-019-0120-y

STABILITY OF BOUNDARY LAYER TO AN OUTFLOW PROBLEM FOR A COMPRESSIBLE NON-NEWTONIAN FLUID IN THE HALF SPACE

潘洁, 方莉, 郭真华

Center for Nonlinear Studies, Department of Mathematical, Northwest University, Xi'an 710127, China

收稿日期:2017-04-08 修回日期:2018-10-29 出版日期:2019-02-25 发布日期:2019-03-13
通讯作者: Zhenhua GUO E-mail:zhguo@nwu.edu.cn
作者简介:Jie PAN,201520485@stumail.nwu.edu.cn;Li FANG, fangli@nwu.edu.cn
基金资助:
The second author was supported by the National Natural Science Foundation of China (11501445), and the third author was supported by the National Natural Science Foundation of China (11671319, 11331005).

STABILITY OF BOUNDARY LAYER TO AN OUTFLOW PROBLEM FOR A COMPRESSIBLE NON-NEWTONIAN FLUID IN THE HALF SPACE

Jie PAN, Li FANG, Zhenhua GUO

Center for Nonlinear Studies, Department of Mathematical, Northwest University, Xi'an 710127, China

Received:2017-04-08 Revised:2018-10-29 Online:2019-02-25 Published:2019-03-13
Contact: Zhenhua GUO E-mail:zhguo@nwu.edu.cn
Supported by:
The second author was supported by the National Natural Science Foundation of China (11501445), and the third author was supported by the National Natural Science Foundation of China (11671319, 11331005).

摘要/Abstract

摘要： This paper investigates the large-time behavior of solutions to an outflow problem for a compressible non-Newtonian fluid in a half space. The main concern is to analyze the phenomena that happens when the compressible non-Newtonian fluid blows out through the boundary. Based on the existence of the stationary solution, it is proved that there exists a boundary layer (i.e., the stationary solution) to the outflow problem and the boundary layer is nonlinearly stable under small initial perturbation.

关键词: compressible non-Newtonian fluid, stability, boundary layer

Abstract: This paper investigates the large-time behavior of solutions to an outflow problem for a compressible non-Newtonian fluid in a half space. The main concern is to analyze the phenomena that happens when the compressible non-Newtonian fluid blows out through the boundary. Based on the existence of the stationary solution, it is proved that there exists a boundary layer (i.e., the stationary solution) to the outflow problem and the boundary layer is nonlinearly stable under small initial perturbation.

Key words: compressible non-Newtonian fluid, stability, boundary layer

潘洁, 方莉, 郭真华. STABILITY OF BOUNDARY LAYER TO AN OUTFLOW PROBLEM FOR A COMPRESSIBLE NON-NEWTONIAN FLUID IN THE HALF SPACE[J]. 数学物理学报(英文版), 2019, 39(1): 259-283.

Jie PAN, Li FANG, Zhenhua GUO. STABILITY OF BOUNDARY LAYER TO AN OUTFLOW PROBLEM FOR A COMPRESSIBLE NON-NEWTONIAN FLUID IN THE HALF SPACE[J]. Acta mathematica scientia,Series B, 2019, 39(1): 259-283.

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STABILITY OF BOUNDARY LAYER TO AN OUTFLOW PROBLEM FOR A COMPRESSIBLE NON-NEWTONIAN FLUID IN THE HALF SPACE

STABILITY OF BOUNDARY LAYER TO AN OUTFLOW PROBLEM FOR A COMPRESSIBLE NON-NEWTONIAN FLUID IN THE HALF SPACE

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