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arXiv · 1401.1382

On the inviscid limit of the 2D Euler equations with vorticity along the $(LMO^\alpha)_\alpha$ scale

Frederic Bernicot·Tarek M. Elgindi·Sahbi Keraani
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Abstract

In a recent paper [5], the global well-posedness of the two-dimensional Euler equation with vorticity in \mbox{$L^1\cap LBMO$} was proved, where $ LBMO$ is a Banach space which is strictly imbricated between \mbox{$L^\infty$} and $BMO$. In the present paper we prove a global result of inviscid limit of the Navier-stokes system with data in this space and other spaces with the same BMO flavor. Some results of local uniform estimates on solutions of the Navier-Stokes equations, independent of the viscosity, are also obtained.

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Frederic Bernicot, Tarek M. Elgindi, Sahbi Keraani. 2014-01-07. On the inviscid limit of the 2D Euler equations with vorticity along the $(LMO^\alpha)_\alpha$ scale. https://arxiv.org/abs/1401.1382

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