most citedOn some dyadic models of the Euler equations

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math.AP2004★ 1 cited

On some dyadic models of the Euler equations

Fabian Waleffe

Katz and Pavlovic recently proposed a dyadic model of the Euler equations for which they proved finite time blow-up in the Sobolev norm. It is shown that their model ca…

math.AP2004★ 1 cited

Remarks on a quasi-linear model of the Navier-Stokes Equations

Fabian Waleffe

Dinaburg and Sinai recently proposed a quasi-linear model of the Navier-Stokes equations. Their model assumes that nonlocal interactions in Fourier space are dominant, contrary to…