Smooth solutions for the dyadic model
Analysis of PDEs
2015-05-19 v1
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.
Cite
@article{arxiv.1007.3401,
title = {Smooth solutions for the dyadic model},
author = {David Barbato and Francesco Morandin and Marco Romito},
journal= {arXiv preprint arXiv:1007.3401},
year = {2015}
}