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• W24725853 abstract "We propose two different approaches for asymptotic analysis of the Neumann boundary-value problem for the Ukawa equation in a thick multistructure Ω ε , which is the union of a domain Ω0 and a large number N of ε—periodically situated thin annular disks with variable thickness of order $$varepsilon = mathcal{O}left( {N^{ - 1} } right)$$ , as ε → 0. In the first approach, using some special extension operator, the convergence theorem is proved as ε → 0. In the second one, the leading terms of the asymptotic expansion for the solution are constructed and the corresponding estimates in the Sobolev space H1(Ωε) are proved." @default.
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• W24725853 date "2005-01-01" @default.
• W24725853 modified "2023-09-23" @default.
• W24725853 title "Asymptotic Analysis of the Neumann Problem for the Ukawa Equation in a Thick Multi-structure of Type 3:2:2" @default.
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• W24725853 doi "https://doi.org/10.1007/3-7643-7384-9_22" @default.
• W24725853 hasPublicationYear "2005" @default.
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