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Averaging principle for one dimensional stochastic Burgers equation.
- Source :
-
Journal of Differential Equations . Nov2018, Vol. 265 Issue 10, p4749-4797. 49p. - Publication Year :
- 2018
-
Abstract
- In this paper, we consider the averaging principle for one dimensional stochastic Burgers equation with slow and fast time-scales. Under some suitable conditions, we show that the slow component strongly converges to the solution of the corresponding averaged equation. Meanwhile, when there is no noise in the slow component equation, we also prove that the slow component weakly converges to the solution of the corresponding averaged equation with the order of convergence 1 − r , for any 0 < r < 1 . [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00220396
- Volume :
- 265
- Issue :
- 10
- Database :
- Academic Search Index
- Journal :
- Journal of Differential Equations
- Publication Type :
- Academic Journal
- Accession number :
- 131494979
- Full Text :
- https://doi.org/10.1016/j.jde.2018.06.020