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Type: Journal article
Title: Large deviations and approximations for slow-fast stochastic reaction-diffusion equations
Author: Wang, W.
Roberts, A.
Duan, J.
Citation: Journal of Differential Equations, 2012; 253(12):3501-3522
Publisher: Academic Press Inc
Issue Date: 2012
ISSN: 0022-0396
Statement of
Wei Wang, A.J. Roberts, Jinqiao Duan
Abstract: A large deviation principle is derived for a class of stochastic reaction-diffusion 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 result also confirms the effectiveness of the approximation of the averaged equation plus the fluctuating deviation to the slow-fast stochastic partial differential equations. © 2012 Elsevier Inc.
Keywords: Slow–fast reaction–diffusion SPDEs
Large deviation principle
Freidlin and Wentzell estimates
Averaged equation
Rights: Copyright © 2012 Elsevier Inc. All rights reserved.
DOI: 10.1016/j.jde.2012.08.041
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Mathematical Sciences publications

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