Year: 2024
Author: Liangbing Jin, Xinru Cheng
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 1 : pp. 184–193
Abstract
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 $H^s (\mathbb{R}^n)$ $(s > max \{\frac{n}{2} + 1 − 2α, 0\})$ for any $α ≥ 0.$
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2024.184
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 1 : pp. 184–193
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: Generalized MHD system local existence Fourier truncation.