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Global well-posedness of the non-isentropic full compressible magnetohydrodynamic equations |
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| Authors: | Fu Yi Xu Xin Guang Zhang Yong Hong Wu Lou Caccetta |
| Affiliation: | 1. State Key Laboratory of Simulation and Regulation of Water Cycle in River Basin, China Institute of Water Resources and Hydropower Research, Beijing, 100038, China 2. School of Science, Shandong University of Technology, Zibo, 255049, China 3. School of Mathematical and Informational Sciences, Yantai University, Yantai, 264005, China 4. Department of Mathematics and Statistics, Curtin University, Perth, WA, 6845, Australia 5. Department of Mathematics, Zhongnan University of Economics and Law, Wuhan, 430073, China 6. Department of Mathematics and Statistics, Curtin University, Perth, WA, 6845, Australia |
| Abstract: | In this paper, we are concerned with Cauchy problem for the multi-dimensional (N ≥ 3) non-isentropic full compressible magnetohydrodynamic equations. We prove the existence and uniqueness of a global strong solution to the system for the initial data close to a stable equilibrium state in critical Besov spaces. Our method is mainly based on the uniform estimates in Besov spaces for the proper linearized system with convective terms. |
| Keywords: | Global well-posedness full compressible magnetohydrodynamic equations Besov spaces |
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