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Time-periodic flows of magnetic fluids

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Abstract

We prove the existence T-periodic weak and strong solutions for the system of partial differential equations corresponding to the three-dimensional Shliomis model for magnetic fluids in bounded domains subjected to T-periodic external magnetic field. For the existence of strong solution we assume that the external magnetic field is sufficiently small.

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Acknowledgements

The author would like thank the referee for valuable comments, important suggestions and corrections, which improved substantially the first version of this article. This work was partially supported by Capes-PrInt grant number 88881.310538/2018-01-Brazil.

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  1. Department of Mathematics, Federal University of Santa Catarina, Florianópolis, 88040-900, Brazil

    Jáuber C. Oliveira

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  1. Jáuber C. Oliveira
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Oliveira, J.C. Time-periodic flows of magnetic fluids. Partial Differ. Equ. Appl. 3, 18 (2022). https://doi.org/10.1007/s42985-022-00153-8

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  • DOI: https://doi.org/10.1007/s42985-022-00153-8

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