Fundamental solutions of the Stokes system in quaternion analysis

Doan Cong Dinh

doi:10.37863/umzh.v74i11.6510

Doan Cong Dinh School Appl. Math. and Informatics, Hanoi Univ. Sci. and Technology, Vietnam

DOI: https://doi.org/10.37863/umzh.v74i11.6510

Keywords: Stokes system; Fundamental solution; Quaternion analysis; Integral representation

Abstract

UDC 532.5

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. Thus, 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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