Construction of complex potentials for multiply connected domain

• Autorzy: Ivanshin, Pyotr N.
• Języki publikacji: EN

Abstrakty

EN

The method of reduction of a Fredholm integral equation to the linear system is generalized to construction of a complex potential - an analytic function in an unbounded multiply connected domain with a simple pole at infinity which maps the domain onto a plane with horizontal slits. We consider a locally sourceless, locally irrotational flow on an arbitrary given n-connected unbounded domain with impermeable boundary. The complex potential has the form of a Cauchy integral with one linear and n logarithmic summands. The method is easily computable.

Słowa kluczowe

EN

potential flow; multiply connected domain; Fredholm integral equation

• Czasopismo: Journal of Applied Analysis
• Rocznik: 2021
• Tom: Vol. 27, nr 2
• Strony: 209--217
• Opis fizyczny: Bibliogr. 19 poz., wykr.

Twórcy

autor

Ivanshin, Pyotr N.

• Lobachevskiy Institute of Mathematics & Mechanics, Kazan Federal University, Kremlevskaya st. 35, Kazan, 420008, Russia,

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021)

Identyfikatory

DOI

10.1515/jaa-2020-2039