ON THE SCHWARZ PROBLEM FOR THE MOISIL–TEODORESCU SYSTEM IN A SPHERICAL LAYER AND IN THE INTERIOR OF A TORUS

Bakytbek Danebekovich Koshanov, Askar Baiarystanov, Karlygash Dosmagulova, A. D. Kuntuarova, Zh.B. Sultangaziyeva

Journal of Mathematics Mechanics and Computer Science, 2022

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DOI 10.26577/jmmcs.2022.v114.i2.04

Data confidence 70 medium

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Abstract

Doubly connected regions play a significant role in fluid mechanics. For example, the flow created by a long solid cylinder moving in the direction of the normal to its axis occurs precisely in a doubly connected region.In this paper, well-posed problems for the Moisil--Teodorescu system are presented in the case of a spherical layer and the interior of a torus. The Moisil--Teodorescu elliptic system is an example of a multidimensional generalized Cauchy--Riemann system. The results of this work show a significant difference between the well-posed problem in a spherical layer and a similar problem in a torus.