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- W4226295952 abstract "In this paper, we study the strong and weak convergence rates for multi-scale one-dimensional stochastic Burgers equation. Based on the techniques of Galerkin approximation, Kolmogorov equation and Poisson equation, we obtain the slow component strongly and weakly converges to the solution of the corresponding averaged equation with optimal orders 1/2 and 1 respectively. The highly nonlinear term in system brings us huge difficulties, we develop new technique to overcome these difficulties. To the best of our knowledge, this work seems to be the first result in which the optimal convergence orders in strong and weak sense for multi-scale stochastic partial differential equations with highly nonlinear term." @default.
- W4226295952 created "2022-05-05" @default.
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- W4226295952 date "2022-04-07" @default.
- W4226295952 modified "2023-09-29" @default.
- W4226295952 title "Optimal convergence order for multi-scale stochastic Burgers equation" @default.
- W4226295952 doi "https://doi.org/10.48550/arxiv.2204.03283" @default.
- W4226295952 hasPublicationYear "2022" @default.
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