Kavli Affiliate: Yi Zhou
| First 5 Authors: Yuanyuan Qiao, Yi Zhou, , ,
| Summary:
We investigate the global well-posedness of two-dimensional incompressible
viscous and non-resistive MHD system near a non-constant equilibrium. Assuming
that the initial data has certain symmetries, we can establish time-weighted
lower-order energy estimates and uniform higher-order energy estimates by
exploring the dissipation nature of the linearized equations. With these
estimates, we can get the global well-posedness result.
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