Abstract
In the present paper, we investigate the asymptotic behavior of solutions to an electromagnetic fluid system for viscous compressible flow without heat conduction in three spatial dimensions. The global existence and time-decay estimates of classical solution are established when the initial data are small perturbations of some given constant state. The proof is based on some elaborate energy estimates and the decay estimates for the linearized system.
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The research is supported by Postdoctoral Science Foundation of China through Grant 2017M610818.
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Xu, X. Asymptotic behavior of solutions to an electromagnetic fluid model. Z. Angew. Math. Phys. 69, 50 (2018). https://doi.org/10.1007/s00033-018-0945-6
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DOI: https://doi.org/10.1007/s00033-018-0945-6