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On the Existence of Dissipative Measure-Valued Solutions to the Compressible Micropolar System

Journal of Mathematical Fluid Mechanics volume 22, Article number: 59 (2020) Cite this article

A Correction to this article was published on 11 November 2020

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Abstract

Compressible micropolar equations model a class of fluids with microstructure. In this paper we establish the dissipative measure-valued solution to the micropolar fluids. We also give the weak-strong uniqueness principle to this system which means its dissipative measure-valued solution is the same as the classical solution, provided they emanate from the same initial data.

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  • 11 November 2020

    The article “On the Existence of Dissipative Measure-Valued Solutions to the Compressible Micropolar System”, written by Bingkang Huang, was originally published electronically on the publisher’s internet portal (currently SpringerLink) on 14 September 2020 with open access

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Acknowledgements

The work of B.-K. Huang is supported by the grant from NNSFC under the contract 11901148 and ”the Fundamental Research Funds for the Central Universities”. B.-K. Huang is grateful to Prof. Eduard Feireisl for his hospitality during the his visit to Institute of Mathematics of the Academy of the Czech Republic. He also express his gartitude to the anonymous referee for his/her suggestions that considerably have improved the presentation of the results

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  1. School of Mathematics, Hefei University of Technology, Hefei, 230009, China

    Bingkang Huang

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  1. Bingkang Huang
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Correspondence to Bingkang Huang.

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Communicated by E. Feireisl

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The original version of this article was revised due to a retrospective Open Access cancellation.

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Huang, B. On the Existence of Dissipative Measure-Valued Solutions to the Compressible Micropolar System. J. Math. Fluid Mech. 22, 59 (2020). https://doi.org/10.1007/s00021-020-00529-z

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  • DOI: https://doi.org/10.1007/s00021-020-00529-z

Keywords

  • Micropolar fluid flow
  • Measure-valued solution
  • Weak-strong uniqueness