Title of article
Fractional diffusion limit for a stochastic kinetic equation
Author/Authors
De Moor، نويسنده , , Sylvain، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2014
Pages
33
From page
1335
To page
1367
Abstract
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.
Keywords
Kinetic equations , Diffusion limit , Stochastic partial differential equations , Perturbed test functions , Fractional diffusion
Journal title
Stochastic Processes and their Applications
Serial Year
2014
Journal title
Stochastic Processes and their Applications
Record number
1579264
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