Global classical solutions of 2D MHD system with only magnetic diffusion on periodic domain
Analysis of PDEs
2018-08-29 v1
Abstract
This paper studies the global existence of classical solutions to the two-dimensional incompressible magneto-hydrodynamical (MHD) system with only magnetic diffusion on the periodic domain. The approach is based on a time-weighted energy estimate, under the assumptions that the initial magnetic field is close enough to an equilibrium state and the initial data have reflection symmetry.
Keywords
Cite
@article{arxiv.1701.07270,
title = {Global classical solutions of 2D MHD system with only magnetic diffusion on periodic domain},
author = {Yi Zhou and Yi Zhu},
journal= {arXiv preprint arXiv:1701.07270},
year = {2018}
}
Comments
16 pages. arXiv admin note: text overlap with arXiv:1701.07264