Abstract
In this paper, we prove the global well-posedness of weak and strong solutions to the phase-lock system under the Coulomb gauge.
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Acknowledgments
The authors thank the referee for careful reading and helpful suggestions. This work is partially supported by National Natural Science Foundation of China (NSFC) (Nos. 11971234 and 71772153) and Fundamental Research Funds for the Central Universities (No. JBK 1805006).
Disclosure statement
No potential conflict of interest was reported by the authors.