ANZIAM J.
46 (2004), 95-109
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On existence, uniqueness
and -exponential stability for stationary solutions to the MHD equations in three-dimensional domains
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Abstract
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The existence of stationary solutions to the MHD
equations in three-dimensional bounded domains
will be proved. At the same time if the
assumption of smallness is made on external
forces, uniqueness of the stationary solutions
can be guaranteed and it can be shown that
any () global bounded non-stationary solution to the
MHD equations approaches the stationary solution
under both and norms exponentially as time goes to infinity.
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