Diffusion limit for a stochastic kinetic problem

Details Diffusion limit for a stochastic kinetic problem Diffusion limit for a stochastic kinetic problem

2011-03-14

arxiv.org/abs/1103.2664v3

Mathematics

Analysis of PDEs

26 pages, corrected version (typos, proof of tightness was lacking an argument)

Scientific paper

We study the limit of a kinetic evolution equation involving a small
parameter and perturbed by a smooth random term which also involves the small
parameter. Generalizing the classical method of perturbed test functions, we
show the convergence to the solution of a stochastic diffusion equation.

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