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 Trudy Inst. Mat. i Mekh. 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

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.

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Bibliographic databases:

UDC: 517.955.8

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://www.ams.org/mathscinet-getitem?mr=3379605} \elib{http://elibrary.ru/item.asp?id=23137974}