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arXiv · 1203.0603

Smoluchowski-Kramers approximation in the case of variable friction

Mark Freidlin·Wenqing Hu
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Abstract

We consider the small mass asymptotics (Smoluchowski-Kramers approximation) for the Langevin equation with a variable friction coefficient. The limit of the solution in the classical sense does not exist in this case. We study a modification of the Smoluchowski-Kramers approximation. Some applications of the Smoluchowski-Kramers approximation to problems with fast oscillating or discontinuous coefficients are considered.

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Mark Freidlin, Wenqing Hu. 2012-03-03. Smoluchowski-Kramers approximation in the case of variable friction. https://doi.org/10.1007/s10958-011-0589-y

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