Abstract
In this paper, we consider the large-time dynamics of weak solutions to a class of compressible fluids with nonlinear constitutive equations in a bounded domain \(\Omega \subseteq \mathbb {R}^3\), the global existence of such solutions has been showed by Feireisl et al. (Math Methods Appl Sci 38:3482–3494, 2015). We study the large time behavior of such solutions after discussing the uniqueness of solutions to the stationary problem.
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Supported by the National Natural Science Foundation of China (Grant Nos. 11271305, 11531010) and the Fundamental Research Funds for Xiamen University (Grant No. 201412G004).
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Guo, S., Tan, Z. Large-time behaviour of solutions to a class of non-Newtonian compressible fluids. Nonlinear Differ. Equ. Appl. 24, 23 (2017). https://doi.org/10.1007/s00030-017-0443-0
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DOI: https://doi.org/10.1007/s00030-017-0443-0