Norm inflation for generalized magneto-hydrodynamic system
Analysis of PDEs
2015-09-01 v2
Abstract
We consider the three-dimensional incompressible magneto-hydrodynamic system with fractional powers of the Laplacian. We discover a wide range of spaces where the norm inflation occurs and hence small initial data results are out of reach. The norm inflation occurs not only in scaling invariant (critical) spaces, but also in supercritical, and, surprisingly, subcritical ones.
Cite
@article{arxiv.1402.1897,
title = {Norm inflation for generalized magneto-hydrodynamic system},
author = {Alexey Cheskidov and Mimi Dai},
journal= {arXiv preprint arXiv:1402.1897},
year = {2015}
}
Comments
14 pages