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- W2088085488 abstract "We study the asymptotic behavior of the solution of the Laplace equation in a domain, a part of whose boundary is highly oscillating. The motivation comes from the study of a longitudinal flow in an infinite horizontal domain bounded at the bottom by a wall and at the top by a rugose wall. The latter is a plane covered with periodic asperities whose size depends on a small parameter, $ varepsilon >0.$ The assumption of sharp asperities is made; that is, the height of the asperities is fixed. Using a boundary layer corrector, we derive and analyze a nonoscillating approximation of the solution at order ${cal O}(varepsilon^{3/2})$ for the H1 -norm." @default.
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- W2088085488 date "2004-01-01" @default.
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- W2088085488 title "Asymptotic Approximation of the Solution of the Laplace Equation in a Domain with Highly Oscillating Boundary" @default.
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- W2088085488 doi "https://doi.org/10.1137/s0036141003414877" @default.
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