Global Existence and Optimal Convergence Rates of Solutions for Three-Dimensional Electromagnetic Fluid System
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In this article, we study the electromagnetic fluid system in three-dimensional whole space ℝ3. Under assumption of small initial data, we establish the unique global solution by energy method. Moreover, we obtain the time decay rates of the higher-order spatial derivatives of the solution by combining the Lp − Lq estimates for the linearized equations and an elaborate energy method when the L1-norm of the perturbation is bounded.
Key wordselectromagnetic fluid decay rates Fourier-splitting method
2010 MR Subject Classification35Q30 76N15 76P05 82C40
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