Partial Differential Equations

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Diffusion approximation for fully coupled stochastic differential equations (2020, result): “[2, 3, 13, 22, 29, 34, 46, 52], see also [10, 11, 12, 50] for similar results for SPDEs.”
Strong convergence rates in averaging principle for slow-fast McKean-Vlasov SPDEs (2021, background): “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.”
Strong convergence in stochastic averaging principle for two time-scales stochastic partial differential equations☆ (2011, background): “In [37] Wang and Roberts studied the deviation and the rate of convergence in probability between the original equation and averaged equation for a class of slow–fast systems with additive noise which has no Lipschitz assumption on the drift coefficients of slow models.”
Strong convergence order for slow–fast McKean–Vlasov stochastic differential equations (2019, unknown): “, [3, 7, 8, 10, 11, 14, 15, 16, 17, 18, 27, 35, 36] for further developments.”
Strong convergence rate in averaging principle for stochastic hyperbolic-parabolic equations with two time-scales (2015, background): “ which the averaging principle of stochastic reactiondiﬀusion equation perturbed by Gaussian noise, with no explicit convergence rate being given, has been systematically studied. In Wang and Roberts [26], the rate of convergence 2 in probability of the original equation to the averaged equation has”