关于非牛顿流体衰减性的一个注记

数学季刊 ›› 2009, Vol. 24 ›› Issue (1): 69-74.

关于非牛顿流体衰减性的一个注记

School of Mathematical and Information Sciences, Wenzhou University

收稿日期:2005-10-24 出版日期:2009-03-30 发布日期:2023-09-08
作者简介: YIN Gu-liang(1958- ), male, native of Xianning, Hubei, an associate professor of Wenzhou University, engage in nonlinear analysis.
基金资助:

A Remark on the Time Decay of Non-Newtonian Flows in R³

School of Mathematical and Information Sciences, Wenzhou University

Received:2005-10-24 Online:2009-03-30 Published:2023-09-08
About author: YIN Gu-liang(1958- ), male, native of Xianning, Hubei, an associate professor of Wenzhou University, engage in nonlinear analysis.

摘要/Abstract

摘要： In the study of long time asymptotic behaviors of the solutions to a class system of the incompressible non-Newtonian fluid flows in R3, it is proved that the weak solutions decay in L2 norm at (1 + t)-34 and the error of difference between non-Newtonian fluid and linear equation is also investigated. The findings are mainly based on the classic Fourier splitting methods.

关键词: decay rates, Fourier splitting methods, non-Newtonian flows

Abstract: In the study of long time asymptotic behaviors of the solutions to a class system of the incompressible non-Newtonian fluid flows in R3, it is proved that the weak solutions decay in L2 norm at (1 + t)-34 and the error of difference between non-Newtonian fluid and linear equation is also investigated. The findings are mainly based on the classic Fourier splitting methods.

Key words: decay rates, Fourier splitting methods, non-Newtonian flows

中图分类号:

O175.92

殷谷良. 关于非牛顿流体衰减性的一个注记[J]. 数学季刊, 2009, 24(1): 69-74.

YIN Gu-liang. A Remark on the Time Decay of Non-Newtonian Flows in R³ [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(1): 69-74.