2021 Construction of complex potentials for multiply connected domains with given boundary circulations and fluxes
Pyotr N. Ivanshin, Elena A. Shirokova
J. Integral Equations Applications 33(4): 451-461 (2021). DOI: 10.1216/jie.2021.33.451

Abstract

We present the approximate analytical method of construction for the complex potential of the locally sourceless, locally irrotational plane flow in a multiply connected infinite domain. The velocity at infinity, the circulations around the impermeable boundary components and the fluxes across the permeable boundary components are given. The method is based on reduction of Fredholm integral equation to the linear system. This method is easily computable.

Citation

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Pyotr N. Ivanshin. Elena A. Shirokova. "Construction of complex potentials for multiply connected domains with given boundary circulations and fluxes." J. Integral Equations Applications 33 (4) 451 - 461, 2021. https://doi.org/10.1216/jie.2021.33.451

Information

Received: 28 December 2020; Revised: 11 May 2021; Accepted: 12 May 2021; Published: 2021
First available in Project Euclid: 11 March 2022

MathSciNet: MR4393378
zbMATH: 1493.30015
Digital Object Identifier: 10.1216/jie.2021.33.451

Subjects:
Primary: 30C20
Secondary: 30-08

Keywords: Fredholm integral equation , multiply connected domain , potential flow

Rights: Copyright © 2021 Rocky Mountain Mathematics Consortium

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Vol.33 • No. 4 • 2021
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