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Large deviations for slow-fast stochastic partial differential equations

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 نشر من قبل Wei Wang
 تاريخ النشر 2010
  مجال البحث فيزياء
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A large deviation principle is derived for stochastic partial differential equations with slow-fast components. The result shows that the rate function is exactly that of the averaged equation plus the fluctuating deviation which is a stochastic partial differential equation with small Gaussian perturbation. This also confirms the effectiveness of the approximation of the averaged equation plus the fluctuating deviation to the slow-fast stochastic partial differential equations.



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