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arXiv · 1711.05664

Stationary Inviscid Limit to Shear Flows

Sameer Iyer·Chunhui Zhou
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Abstract

In this note we establish a density result for certain stationary shear flows, $μ(y)$, that vanish at the boundaries of a horizontal channel. We construct stationary solutions to 2D Navier-Stokes that are $ε$-close in $L^\infty$ 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.

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Sameer Iyer, Chunhui Zhou. 2017-11-15. Stationary Inviscid Limit to Shear Flows. https://arxiv.org/abs/1711.05664

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