J. Nonl. Mod. Anal., 7 (2025), pp. 1084-1095.
Published online: 2025-05
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In this paper, we establish the local existence for the generalized Navier-Stokes-Maxwell system with the fractional velocity dissipative term $Λ^{2α}u$ and fractional magnetic dissipative term $Λ^{2β}B.$ Moreover, we establish the global existence of strong solutions to this generalized model.
}, issn = {2562-2862}, doi = {https://doi.org/10.12150/jnma.2025.1084}, url = {http://global-sci.org/intro/article_detail/jnma/24117.html} }In this paper, we establish the local existence for the generalized Navier-Stokes-Maxwell system with the fractional velocity dissipative term $Λ^{2α}u$ and fractional magnetic dissipative term $Λ^{2β}B.$ Moreover, we establish the global existence of strong solutions to this generalized model.