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

Dorothee Frey (MSI); Pascal Auscher (LM-Orsay)

arxiv: 1310.3783 · v1 · pith:6RIT7FTSnew · submitted 2013-10-14 · 🧮 math.CA · math.AP

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

Pascal Auscher (LM-Orsay) , Dorothee Frey (MSI) This is my paper

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keywords proofequationskochnavier-stokesresulttataruwell-posednessdata

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

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