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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2015, Volume 21, Number 1, Pages 81–96
(Mi timm1144)
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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.
Received: 12.01.2014
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
Linking options:
https://www.mathnet.ru/eng/timm1144 https://www.mathnet.ru/eng/timm/v21/i1/p81
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Statistics & downloads: |
Abstract page: | 346 | Full-text PDF : | 78 | References: | 74 | First page: | 11 |
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