@Article{JNMA-6-2,
author = {Qian, Liu and Yuan, Baoquan},
title = {Well-Posedness of MHD Equations in Sobolev-Gevery Space},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2024},
volume = {6},
number = {2},
pages = {320--332},
abstract = {<p style="text-align: justify;">This paper is devoted to the study of the 3D incompressible magnetohydrodynamic system. We prove the local in time well-posedness for any
large initial data in $\dot{H}^1_{a,1}(\mathbb{R}^3)$ or $H^1_{a,1}(\mathbb{R}^3).$ Furthermore, the global well-posedness of a strong solution in $\tilde{L}^∞(0, T; H^1_{ a,1}(\mathbb{R}^3)) ∩ L^2
(0, T; \dot{H}^1_{a,1}(\mathbb{R}^3) ∩ \dot{H}^2_{a,1}(\mathbb{R}^3))$ with initial data satisfying a smallness condition is established.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2024.320},
url = {https://global-sci.com/article/91156/well-posedness-of-mhd-equations-in-sobolev-gevery-space}
}