Abstract
This focuses on the large time behavior of the solution to the IVP of the 2D fully dissipative magnetohydrodynamics system. We first compute the decay rates of the solutions, then, we show that these rates are sharp. Moreover, the explicit asymptotic profiles are identified. It turns out that these profiles resemble the Oseen vortices.
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The author would like to thank Professor Atanas Stefanov for suggestions that significantly improved the paper.
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Hadadifard, F. Optimal decay rates and the global attractors of the 2D fully dissipative magnetohydrodynamics system. Z. Angew. Math. Phys. 72, 132 (2021). https://doi.org/10.1007/s00033-021-01520-y
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DOI: https://doi.org/10.1007/s00033-021-01520-y