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.
Yin LI
,
Ruiying WEI
,
Zheng-an YAO
. GLOBAL EXISTENCE AND OPTIMAL CONVERGENCE RATES OF SOLUTIONS FOR THREE-DIMENSIONAL ELECTROMAGNETIC FLUID SYSTEM[J]. Acta mathematica scientia, Series B, 2019
, 39(2)
: 469
-490
.
DOI: 10.1007/s10473-019-0212-8
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