@Article{JNMA-6-184,
author = {Jin , Liangbing and Cheng , Xinru},
title = {Local Existence of Strong Solutions to the Generalized MHD Equations},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2024},
volume = {6},
number = {1},
pages = {184--193},
abstract = {<p style="text-align: justify;">This paper devotes to consider the local existence of the strong
solutions to the generalized MHD system with fractional dissipative terms $Λ^{2α}u$ for the velocity field and $Λ^{2α}b$ for the magnetic field, respectively. We
construct the approximate solutions by the Fourier truncation method, and use
energy method to obtain the local existence of strong solutions in $H^s
(\mathbb{R}^n)$ $(s &gt;
max \{\frac{n}{2} + 1 − 2α, 0\})$ for any $α ≥ 0.$</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2024.184},
url = {http://global-sci.org/intro/article_detail/jnma/22974.html}
}