Determining wavenumbers for the incompressible Hall-magneto-hydrodynamics
Analysis of PDEs
2019-09-13 v2
Abstract
Using Littlewood-Paley theory, one formulates the determining wavenumbers for the Hall-MHD system, defined for each individual solution . It is shown that the long time behaviour of strong solutions is almost finite dimensional as the wavenumbers are bounded in certain average senses.
Keywords
Cite
@article{arxiv.1908.04891,
title = {Determining wavenumbers for the incompressible Hall-magneto-hydrodynamics},
author = {Han Liu},
journal= {arXiv preprint arXiv:1908.04891},
year = {2019}
}