Abstract
The incompressible magnetohydrodynamic equations driven by additive fractional Brownian motions are considered. We firstly establish the local existence and uniqueness of the mild solution in Lp space on a smooth bounded domain in Rd(d=2,3). The proof is based on the semigroup theory, fixed point theorem and the results of stochastic PDEs of linear parabolic type. In the proof, the eigenvalue problem with perfectly conducting wall condition is considered to weaken the requirements of noise terms. Finally, the global existence of mild solutions is also established by energy estimate.
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