Averaging Principle for Multiscale Stochastic Fractional Schrödinger Equation

Gao, Peng

doi:10.1007/s00023-020-00895-4

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2021

2022

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Cited by 3 publications

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“…Moreover, Liu et al [36] also established the strong averaging principle for a class of SPDEs with locally monotone coefficients. For more results on this subject, we refer to [1,2,12,18,19,21,22,40,44,46,47,49] and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Strong Convergence Rates in Averaging Principle for Slow-Fast McKean-Vlasov SPDEs

Wang¹,

Li²,

Liu³

2021

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In this paper, we aim to study the asymptotic behaviour for a class of McKean-Vlasov stochastic partial differential equations with slow and fast time-scales. Using the variational approach and classical Khasminskii time discretization, we show that the slow component strongly converges to the solution of the associated averaged equation. In particular, the corresponding convergence rates are also obtained. The main results can be applied to demonstrate the averaging principle for various McKean-Vlasov nonlinear SPDEs such as stochastic porous media type equation, stochastic p-Laplace type equation and also some McKean-Vlasov stochastic differential equations.

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