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Large deviations and approximations for slow-fast stochastic reaction-diffusion equations |
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| Authors: | Wei Wang A.J. Roberts |
| Affiliation: | a School of Mathematical Sciences, University of Adelaide, Adelaide, Australia b Department of Mathematics, Nanjing University, Nanjing, China c Department of Applied Mathematics, Illinois Institute of Technology, Chicago, IL 60616, USA d School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China |
| 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. |
| Keywords: | 35R60 60H15 60F10 |
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