Stability and dynamics for a nonlinear one-dimensional full compressible non-Newtonian fluids

Xin Liu; Yongjin Lu; Xin-Guang Yang

doi:10.3934/eect.2020071

Article Contents

2021, Volume 10, Issue 2: 365-384. Doi: 10.3934/eect.2020071

This issue Previous Article Homogenization of a stochastic viscous transport equation Next Article Well-posedness of infinite-dimensional non-autonomous passive boundary control systems

Stability and dynamics for a nonlinear one-dimensional full compressible non-Newtonian fluids

1.
Department of Applied Mathematics, School of Statistics and Information, Shanghai University of International Business and Economics, Songjiang, Shanghai 201620, P. R. China, and, Department of Mathematics and Statistics, University of Minnesota Duluth, Duluth, MN, 55812, USA
2.
Department of Mathematics and Economics, Virginia State University, Petersburg, VA 23806, USA
3.
College of Mathematics and Information Science, Henan Normal University Xinxiang, 453007, China

Received: February 28, 2019

Revised: February 29, 2020

Early access: June 2020

Published: June 2021

Research partly supported by the Funds: the National Natural Science Foundation of China (No. 11801357 and No. 11671075), the National Science Foundation (of USA) (Award No. 1601127), Young Backbone Teacher in Henan Province (No. 2018GGJS039)

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Abstract

In this paper, we concern with the existence of global attractors for a one-dimensional full compressible non-Newtonian fluid model defined on bounded domain. Using some delicate regular estimates and energy functional to obtain the continuity of semigroup and dissipation respectively, the long time behavior of global solution has been investigated, which is a further of [31].

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Mathematics Subject Classification: 35Q30, 35B40, 35B41, 76D03, 76D05.

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References

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