GEVREY CLASS REGULARITY FOR THE GLOBAL ATTRACTOR OF A TWO-DIMENSIONAL NON-NEWTONIAN FLUID

doi:10.1007/s10473-022-0115-y

数学物理学报(英文版) ›› 2022, Vol. 42 ›› Issue (1): 265-282.doi: 10.1007/s10473-022-0115-y

GEVREY CLASS REGULARITY FOR THE GLOBAL ATTRACTOR OF A TWO-DIMENSIONAL NON-NEWTONIAN FLUID

赵才地¹, 林泽瀚¹, T. Tachim MEDJO²

1. Department of Mathematics, Wenzhou University, Wenzhou, 325035, China;
2. Department of Mathematics, Florida International University, DM413B University Park, Miami, FL, 33199, USA

收稿日期:2020-07-14 修回日期:2021-06-21 出版日期:2022-02-25 发布日期:2022-02-24
通讯作者: Caidi ZHAO,E-mail:zhaocaidi2013@163.com,zhaocaidi@wzu.edu.cn E-mail:zhaocaidi2013@163.com,zhaocaidi@wzu.edu.cn
作者简介:Zehan LIN,E-mail:linzehan97@163.com;T. Tachim MEDJO,E-mail:tachim@fiu.edu
基金资助:
Supported by NSF of China (11971356) and NSF of Zhejiang Province (LY17A010011).

GEVREY CLASS REGULARITY FOR THE GLOBAL ATTRACTOR OF A TWO-DIMENSIONAL NON-NEWTONIAN FLUID

Caidi ZHAO¹, Zehan LIN¹, T. Tachim MEDJO²

1. Department of Mathematics, Wenzhou University, Wenzhou, 325035, China;
2. Department of Mathematics, Florida International University, DM413B University Park, Miami, FL, 33199, USA

Received:2020-07-14 Revised:2021-06-21 Online:2022-02-25 Published:2022-02-24
Contact: Caidi ZHAO,E-mail:zhaocaidi2013@163.com,zhaocaidi@wzu.edu.cn E-mail:zhaocaidi2013@163.com,zhaocaidi@wzu.edu.cn
Supported by:
Supported by NSF of China (11971356) and NSF of Zhejiang Province (LY17A010011).

摘要/Abstract

摘要： This article investigates Gevrey class regularity for the global attractor of an incompressible non-Newtonian fluid in a two-dimensional domain with a periodic boundary condition. This Gevrey class regularity reveals that the solutions lying in the global attractor are analytic in time with values in a Gevrey class of analytic functions in space.

关键词: non-Newtonian fluid, global attractor, Gevrey class regularity

Abstract: This article investigates Gevrey class regularity for the global attractor of an incompressible non-Newtonian fluid in a two-dimensional domain with a periodic boundary condition. This Gevrey class regularity reveals that the solutions lying in the global attractor are analytic in time with values in a Gevrey class of analytic functions in space.

Key words: non-Newtonian fluid, global attractor, Gevrey class regularity

中图分类号:

37L30

赵才地, 林泽瀚, T. Tachim MEDJO. GEVREY CLASS REGULARITY FOR THE GLOBAL ATTRACTOR OF A TWO-DIMENSIONAL NON-NEWTONIAN FLUID[J]. 数学物理学报(英文版), 2022, 42(1): 265-282.

Caidi ZHAO, Zehan LIN, T. Tachim MEDJO. GEVREY CLASS REGULARITY FOR THE GLOBAL ATTRACTOR OF A TWO-DIMENSIONAL NON-NEWTONIAN FLUID[J]. Acta mathematica scientia,Series B, 2022, 42(1): 265-282.

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GEVREY CLASS REGULARITY FOR THE GLOBAL ATTRACTOR OF A TWO-DIMENSIONAL NON-NEWTONIAN FLUID

GEVREY CLASS REGULARITY FOR THE GLOBAL ATTRACTOR OF A TWO-DIMENSIONAL NON-NEWTONIAN FLUID

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