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- W2035325207 abstract "The goal of this article is to study the asymptotic behaviour of the solutions of linearized Navier–Stokes equations (LNSE), when the viscosity is small, in a general (curved) bounded and smooth domain in ℝ3 with a characteristic boundary. To handle the difficulties due to the curvature of the boundary, we first introduce a curvilinear coordinate system which is adapted to the boundary. Then we prove the existence of a strong corrector for the LNSE. More precisely, we show that the solution of LNSE behaves like the corresponding Euler solution except in a thin region, near the boundary, where a certain heat solution is added as a corrector." @default.
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- W2035325207 date "2010-01-01" @default.
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- W2035325207 title "Asymptotic analysis of the Stokes problem on general bounded domains: the case of a characteristic boundary" @default.
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- W2035325207 doi "https://doi.org/10.1080/00036810903437796" @default.
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