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arXiv · 1310.3783

A new proof for Koch and Tataru's result on the well-posedness of Navier-Stokes equations in $BMO^{-1}$

Pascal Auscher·Dorothee Frey
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Abstract

We give a new proof of a well-known result of Koch and Tataru on the well-posedness of Navier-Stokes equations in $\R^n$ with small initial data in $BMO^{-1}(\R^n)$. The proof is formulated operator theoretically and does not make use of self-adjointness of the Laplacian.

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Pascal Auscher, Dorothee Frey. 2013-10-14. A new proof for Koch and Tataru's result on the well-posedness of Navier-Stokes equations in $BMO^{-1}$. https://arxiv.org/abs/1310.3783

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