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Fundamental Solutions of the Stokes System in Quaternion Analysis

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Ukrainian Mathematical Journal Aims and scope

The method of quaternionic analysis in fluid mechanics was developed by several generations of mathematicians with numerous important results. We add a small result in this direction. Actually, we introduce a new reformulation of fundamental solutions of the Stokes system within the framework of quaternion analysis and construct integral representations for its solutions.

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Authors and Affiliations

  1. School of Applied Mathematics and Informatics, Hanoi University of Science and Technology, Hanoi, Vietnam

    Doan Cong Dinh

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  1. Doan Cong Dinh
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Correspondence to Doan Cong Dinh.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 74, No. 11, pp. 1492–1505, November, 2022. Ukrainian DOI: https://doi.org/10.37863/umzh.v74i11.6510.

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Dinh, D.C. Fundamental Solutions of the Stokes System in Quaternion Analysis. Ukr Math J 74, 1701–1717 (2023). https://doi.org/10.1007/s11253-023-02165-y

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  • DOI: https://doi.org/10.1007/s11253-023-02165-y

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