@article{Liu2024, 
author = {Wenjuan Liu and Jialing Peng},
title = {Analyticity estimates for the 3D magnetohydrodynamic equations},
year = {2024},
journal = {Electronic Research Archive},
volume = {32},
number = {6},
pages = {3819-3842},
keywords = {magnetohydrodynamic equations, the analyticity radius, Besov spaces, Gevrey regularity, global solution},
url = {https://www.sciopen.com/article/10.3934/era.2024173},
doi = {10.3934/era.2024173},
abstract = {This paper was concerned with the Cauchy problem of the 3D magnetohydrodynamic (MHD) system. We first proved that this system was local well-posed with initial data in the Besov space                      B        ˙                    p      ,      q              s        (            R              3        ), in the critical Besov space                      B        ˙                    p      ,      q              −      1      +              3        p              (            R              3        ), and in        L          p        (            R              3        ) with    p  ∈  ]  3  ,  6  [, respectively. We also obtained a new growth rate estimates for the analyticity radius.}
}