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arXiv · 1007.3401

Smooth solutions for the dyadic model

David Barbato·Francesco Morandin·Marco Romito
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Abstract

We consider the dyadic model, which is a toy model to test issues of well-posedness and blow-up for the Navier-Stokes and Euler equations. We prove well-posedness of positive solutions of the viscous problem in the relevant scaling range which corresponds to Navier-Stokes. Likewise we prove well-posedness for the inviscid problem (in a suitable regularity class) when the parameter corresponds to the strongest transport effect of the non-linearity.

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David Barbato, Francesco Morandin, Marco Romito. 2010-07-20. Smooth solutions for the dyadic model. https://doi.org/10.1088/0951-7715%2F24%2F11%2F004

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