Geodesic
Asymptotics of a solution of the second boundary value problem for the Laplace equation outside a small neighborhood of a segment
Trudy Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 1, pp. 81-96

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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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     author = {A. A. Ershov},
     title = {Asymptotics of a solution of the second boundary value problem for the {Laplace} equation outside a small neighborhood of a segment},
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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 Instituta matematiki i mehaniki, Trudy Instituta Matematiki i Mekhaniki UrO RAN, Tome 21 (2015) no. 1, pp. 81-96. http://geodesic.mathdoc.fr/item/TIMM_2015_21_1_a7/