TY - JOUR
T1 - Local Existence for the Generalized Navier-Stokes-Maxwell Equations
AU - Cheng , Xinru
AU - Jin , Liangbing
AU - Zou , Rong
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 1084
EP - 1095
PY - 2025
DA - 2025/05
SN - 7
DO - http://doi.org/10.12150/jnma.2025.1084
UR - https://global-sci.org/intro/article_detail/jnma/24117.html
KW - Navier-Stokes-Maxwell system, fractional dissipative, local existence, global existence.
AB - <p style="text-align: justify;">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.</p>