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Gevrey class regularity for the global attractor of a two-dimensional non-Newtonian fluid

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Abstract

This article investigates Gevrey class regularity for the global attractor of an incompressible non-Newtonian fluid in a two-dimensional domain with a periodic boundary condition. This Gevrey class regularity reveals that the solutions lying in the global attractor are analytic in time with values in a Gevrey class of analytic functions in space.

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Authors and Affiliations

  1. Department of Mathematics, Wenzhou University, Wenzhou, 325035, China

    Caidi Zhao & Zehan Lin

  2. Department of Mathematics, Florida International University, DM413B University Park, Miami, FL, 33199, USA

    T. Tachim Medjo

Authors
  1. Caidi Zhao
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  2. Zehan Lin
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  3. T. Tachim Medjo
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Corresponding authors

Correspondence to Caidi Zhao, Zehan Lin or T. Tachim Medjo.

Additional information

Supported by NSF of China (11971356) and NSF of Zhejiang Province (LY17A010011).

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Zhao, C., Lin, Z. & Medjo, T.T. Gevrey class regularity for the global attractor of a two-dimensional non-Newtonian fluid. Acta Math Sci 42, 265–282 (2022). https://doi.org/10.1007/s10473-022-0115-y

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  • DOI: https://doi.org/10.1007/s10473-022-0115-y

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