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Global attractors for a nonlinear one-dimensional compressible viscous micropolar fluid model

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Abstract

This paper considers the dynamical behavior of solutions of constitutive systems for 1D compressible viscous and heat-conducting micropolar fluids. With proper constraints on initial data, we prove the existence of global attractors in generalized Sobolev spaces \(H_{\delta }^{(1)}\) and \(H_{\delta }^{(2)}\). These attractors are unique in corresponding phase spaces.

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Acknowledgements

This research is supported by NSFC (Nos. 11501199) and the Natural Science Foundation of Henan Province (No. 19B110010). Xin-Guang Yang was partially supported by the Key Project of Science and Technology of Henan Province (No. 182102410069). Yongjin Lu was partially supported by United States National Science Foundation (No. 1601127). Taige Wang is supported by Faculty Development Funding from Arts & Sciences College of University of Cincinnati.

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Authors and Affiliations

  1. College of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou, 450011, Henan, People’s Republic of China

    Lan Huang

  2. Department of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, Henan, People’s Republic of China

    Xin-Guang Yang

  3. Department of Mathematics and Economics, Virginia State University, Petersburg, VA, 23806, USA

    Yongjin Lu

  4. Department of Mathematical Sciences, University of Cincinnati, Cincinnati, OH, 45221, USA

    Taige Wang

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  1. Lan Huang
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  2. Xin-Guang Yang
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Correspondence to Taige Wang.

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Huang, L., Yang, XG., Lu, Y. et al. Global attractors for a nonlinear one-dimensional compressible viscous micropolar fluid model. Z. Angew. Math. Phys. 70, 40 (2019). https://doi.org/10.1007/s00033-019-1083-5

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  • DOI: https://doi.org/10.1007/s00033-019-1083-5

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