Global solutions to the damped MHD system
Corresponding Author
Xiaoping Zhai
School of Mathematics and Statistics, Guangdong University of Technology, Guangzhou, P. R. China
Correspondence
Xiaoping Zhai, School of Mathematics and Statistics, Guangdong University of Technology, Guangzhou, 510520, P. R. China.
Email: [email protected]
Search for more papers by this authorZhi-Min Chen
School of Mathematics and Statistics, Shenzhen University, Shenzhen, P. R. China
Search for more papers by this authorCorresponding Author
Xiaoping Zhai
School of Mathematics and Statistics, Guangdong University of Technology, Guangzhou, P. R. China
Correspondence
Xiaoping Zhai, School of Mathematics and Statistics, Guangdong University of Technology, Guangzhou, 510520, P. R. China.
Email: [email protected]
Search for more papers by this authorZhi-Min Chen
School of Mathematics and Statistics, Shenzhen University, Shenzhen, P. R. China
Search for more papers by this authorAbstract
The global existence of solutions to a damped MHD system in Besov spaces is obtained. This research is motivated by the open question [Wu et al., J. Nonlinear Sci. 25 (2015), 157–192, Remark 5.1] on the possibility of extension to the existence of global small solutions from a potential Banach space to a Besov space. The present result positively confirms the open question. What is more, the initial data are not required to be uniformly small.
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