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Strong convergence rate in averaging principle for stochastic hyperbolic-parabolic equations with two time-scales

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arxiv 1611.09080 v2 pith:3B4X37YI submitted 2016-11-28 math.PR

Hongbo Fu , Li Wan , Jicheng Liu , Xianming Liu This is my paper
classification math.PR
keywords averagingconvergenceequationshyperbolic-parabolicorderprinciplerateslow
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abstract

In this article, we investigate averaging principle for stochastic hyperbolic-parabolic equations with two time-scales, in which both the slow and fast components are perturbed by multiplicative noises. Particularly, we prove that the rate of strong convergence for the slow component to the averaged dynamics is of order $1/2$, which significantly improves the order $1/4$ established in our previous work.

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