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

Xin Liu, ,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, Yongjin Lu, Xin-Guang Yang, ,Department of Mathematics and Economics, Virginia State University, Petersburg, VA 23806, USA, ,College of Mathematics and Information Science, Henan Normal University Xinxiang, 453007, China
2019 Evolution Equations and Control Theory  

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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] . 2020 Mathematics Subject Classification. 35Q30, 35B40, 35B41, 76D03, 76D05.
doi:10.3934/eect.2020071 fatcat:77fuorzze5aqpiuxzowptjytmm
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Xin Liu, ,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, Yongjin Lu, Xin-Guang Yang, ,Department of Mathematics and Economics, Virginia State University, Petersburg, VA 23806, USA, ,College of Mathematics and Information Science, Henan Normal University Xinxiang, 453007, China. "Stability and dynamics for a nonlinear one-dimensional full compressible non-Newtonian fluids." Evolution Equations and Control Theory 0.0 (2019) 0-0