Optimal decay rate and convergence of the incompressible viscous resistive MHD system

作者：Hou, Yingxin; Zhou, Fujun; Xu, Yuan^*

来源：Journal of Mathematical Analysis and Applications, 2024, 534(1): 128049.

DOI：10.1016/j.jmaa.2023.128049

• Incompressible viscous resistive
• MHD system
• Global solutions
• Optimal time decay rate
• Blow-up criterion

In this work, we investigate the optimal Lp (p >= 2) time decay rate of global solutions to the incompressible viscous resistive MHD system with degeneration, and study its convergence to the incompressible viscous ideal MHD system as the resistivity epsilon goes to zero. The analysis is based on the high-low frequency decomposition and the uniform energy estimate of the system with respect to epsilon.

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