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- W2963171092 abstract "In this article we establish a density result for certain stationary shear flows, μ(y), that vanish at the vertical boundaries of a box. We construct stationary solutions to 2D Navier-Stokes that are ε-close in L∞ to the given shear flow. Our construction is based on a coercivity estimate for the Rayleigh operator, R[v], which is based on a decomposition made possible by the vanishing of μ at the boundaries. As a corollary, we obtain, for each ε<<1, a one parameter family of solutions to the NS(ε) system which approximate the Couette flow." @default.
- W2963171092 created "2019-07-30" @default.
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- W2963171092 date "2019-12-01" @default.
- W2963171092 modified "2023-10-17" @default.
- W2963171092 title "Stationary inviscid limit to shear flows" @default.
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- W2963171092 doi "https://doi.org/10.1016/j.jde.2019.07.017" @default.
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