Averaging Principle for Systems of Reaction-Diffusion Equations with Polynomial Nonlinearities Perturbed by Multiplicative Noise
نویسنده
چکیده
We prove the validity of an averaging principle for a class of systems of slow-fast reaction-diffusion equations with the reaction terms in both equations having polynomial growth, perturbed by a noise of multiplicative type. The models we have in mind are the stochastic Fitzhugh– Nagumo equation arising in neurophysiology and the Ginzburg–Landau equation arising in statistical mechanics.
منابع مشابه
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ورودعنوان ژورنال:
- SIAM J. Math. Analysis
دوره 43 شماره
صفحات -
تاریخ انتشار 2011