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Layer separation of the 3D incompressible Navier–Stokes equation in a bounded domain - MaRDI portal

Layer separation of the 3D incompressible Navier–Stokes equation in a bounded domain (Q6579180)

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scientific article; zbMATH DE number 7887326
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Layer separation of the 3D incompressible Navier–Stokes equation in a bounded domain
scientific article; zbMATH DE number 7887326

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    Layer separation of the 3D incompressible Navier–Stokes equation in a bounded domain (English)
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    25 July 2024
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    The results in this work extend those in [\textit{A. F. Vasseur} and \textit{J. Yang}, SIAM J. Math. Anal. 55, No. 4, 3081--3107 (2023; Zbl 1531.35231)] on the boundary layer separation, i.e. the discrepancy between turbulent solutions of the Navier-Stokes equations with small viscosity and a laminar Euler flow, to the case of general smooth bounded domains in three dimensions. A key tool is a boundary vorticity estimate in the vanishing viscosity limit.
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