@Article{JNMA-6-1,
author = {Liangbing, Jin and Xinru, Cheng},
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 = {https://global-sci.com/article/91146/local-existence-of-strong-solutions-to-the-generalized-mhd-equations}
}