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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 1, Pages 81–96 (Mi timm1144)  

Asymptotics of a solution of the second boundary value problem for the Laplace equation outside a small neighborhood of a segment

A. A. Ershov

Chelyabinsk State University
References:
Abstract: We construct and validate an asymptotic expansion of a solution of the exterior Neumann problem for the Laplace equation outside a small neighborhood of a segment. The width of the neighborhood is characterized by a small parameter. A physical interpretation of the solution is the two-dimensional velocity potential of an ideal fluid in the case of a laminar flow across a thin body.
Keywords: boundary value problem; Laplace equation; asymptotic expansion; matching method; laminar stream; ideal fluid.
Received: 12.01.2014
Bibliographic databases:
Document Type: Article
UDC: 517.955.8
Language: Russian
Citation: A. A. Ershov, “Asymptotics of a solution of the second boundary value problem for the Laplace equation outside a small neighborhood of a segment”, Trudy Inst. Mat. i Mekh. UrO RAN, 21, no. 1, 2015, 81–96
Citation in format AMSBIB
\Bibitem{Ers15}
\by A.~A.~Ershov
\paper Asymptotics of a solution of the second boundary value problem for the Laplace equation outside a small neighborhood of a segment
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2015
\vol 21
\issue 1
\pages 81--96
\mathnet{http://mi.mathnet.ru/timm1144}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3379605}
\elib{https://elibrary.ru/item.asp?id=23137974}
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  • https://www.mathnet.ru/eng/timm/v21/i1/p81
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