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

Authors

DOI:

https://doi.org/10.26577/JMMCS.2022.v114.i2.04

Keywords:

Cauchy–Riemann system, Moisil–Teodorescu system, Schwartz problem, spherical layer, torus interior, solvability of the problem

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.

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Published

2022-06-24