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Initial-boundary value problem for 2D magneto-micropolar equations with zero angular viscosity

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Abstract

In this paper, we are concerned with the initial-boundary value problem to the 2D magneto-micropolar system with zero angular viscosity in a smooth bounded domain. We prove that there exists a unique global strong solution of such a system by imposing natural boundary conditions and regularity assumptions on the initial data, without any compatibility condition.

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Acknowledgements

S. Wang is supported by Beijing University of Technology (No. ykj-2018-00110). J. Liu is supported by National Natural Science Foundation of China (No. 11801018), Beijing Natural Science Foundation (No. 1192001), Youth Backbone Individual Program of the Organization Department of Beijing Municipality (No. 2017000020124G052) and Beijing University of Technology (No. 006000514121518).

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Authors and Affiliations

  1. College of Mathematics, Faculty of Science, Beijing University of Technology, Beijing, 100124, People’s Republic of China

    Shasha Wang & Jitao Liu

  2. Department of Mathematics and Statistics, California State University, Long Beach, CA, 90840, USA

    Wen-Qing Xu

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  1. Shasha Wang
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Wang, S., Xu, WQ. & Liu, J. Initial-boundary value problem for 2D magneto-micropolar equations with zero angular viscosity. Z. Angew. Math. Phys. 72, 103 (2021). https://doi.org/10.1007/s00033-021-01537-3

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