Fractional diffusion limit for a stochastic kinetic equation
نویسندگان
چکیده
منابع مشابه
Fractional diffusion limit for a stochastic kinetic equation
We study the stochastic fractional diffusive limit of a kinetic equation involving a small parameter and perturbed by a smooth random term. Generalizing the method of perturbed test functions, under an appropriate scaling for the small parameter, and with the moment method used in the deterministic case, we show the convergence in law to a stochastic fluid limit involving a fractional Laplacian.
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ژورنال
عنوان ژورنال: Stochastic Processes and their Applications
سال: 2014
ISSN: 0304-4149
DOI: 10.1016/j.spa.2013.11.007