Stochastic amplitude equation for the stochastic generalized Swift–Hohenberg equation
In this paper we derive rigorously the amplitude equation, using the natural separation of time-scales near a change of stability, for the stochastic generalized Swift–Hohenberg equation with quadratic and cubic nonlinearity in this form du=-(1+∂x2)2u+νεu+γu2-u3dt+σεdW, where W(t)is a Wiener process...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2015-10-01
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| Series: | Journal of the Egyptian Mathematical Society |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110256X14001278 |