Geodesic
A Note on the Vanishing Viscosity Limit in the Yudovich Class
Canadian mathematical bulletin, Tome 64 (2021) no. 1, pp. 112-122

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We consider the inviscid limit for the two-dimensional Navier–Stokes equations in the class of integrable and bounded vorticity fields. It is expected that the difference between the Navier–Stokes and Euler velocity fields vanishes in $L^2$ with an order proportional to the square root of the viscosity constant $\nu $. Here, we provide an order $ (\nu /|\log \nu | )^{\frac 12\exp (-Ct)}$ bound, which slightly improves upon earlier results by Chemin.
DOI : 10.4153/S0008439520000296
Mots-clés : Vanishing viscosity, Yudovich, Euler, Navier-Stokes, stability, Wasserstein 
Seis, Christian. A Note on the Vanishing Viscosity Limit in the Yudovich Class. Canadian mathematical bulletin, Tome 64 (2021) no. 1, pp. 112-122. doi: 10.4153/S0008439520000296
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     journal = {Canadian mathematical bulletin},
     pages = {112--122},
     year = {2021},
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     doi = {10.4153/S0008439520000296},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/S0008439520000296/}
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