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| Local Existence for the Generalized Navier-Stokes-Maxwell Equations |
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| KeyWord:Navier-Stokes-Maxwell system, fractional dissipative, local existence, global existence |
| Author Name | Affiliation | | Xinru Cheng | School of Mathematical Sciences, Zhejiang Normal University, Jinhua, Zhejiang 321004, China | | Liangbing Jin | School of Mathematical Sciences, Zhejiang Normal University, Jinhua, Zhejiang 321004, China | | Rong Zou | Department of Mathematics, Hawaii Pacific University, Honolulu 96813, Hawaii, USA |
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| Abstract: |
| In this paper, we establish the local existence for the generalized Navier-Stokes-Maxwell system with the fractional velocity dissipative term $\Lambda^{2\alpha}u$ and fractional magnetic dissipative term $\Lambda^{2\beta}B$. Moreover, we establish the global existence of strong solutions to this generalized model. |
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