Global Large Smooth Solutions for 3-D Hall-magnetohydrodynamics
Analysis of PDEs
2021-04-29 v1
Abstract
In this paper, the global smooth solution of Cauchy's problem of incompressible, resistive, viscous Hall-magnetohydrodynamics (Hall-MHD) is studied. By exploring the nonlinear structure of Hall-MHD equations, a class of large initial data is constructed, which can be arbitrarily large in . Our result may also be considered as the extension of work of Lei-Lin-Zhou from the second-order semi-linear equations to the second-order quasilinear equations, because the Hall term elevates the Hall-MHD system to the quasilinear level.
Cite
@article{arxiv.1903.03212,
title = {Global Large Smooth Solutions for 3-D Hall-magnetohydrodynamics},
author = {Huali Zhang},
journal= {arXiv preprint arXiv:1903.03212},
year = {2021}
}