Topic
Asymptotology
About: Asymptotology is a research topic. Over the lifetime, 1319 publications have been published within this topic receiving 35831 citations.
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TL;DR: In this paper, the modified Chapman-Enskog expansion procedure is applied to find the asymptotic solution of the Fokker-Planck equation related to Brownian motion.
Abstract: In this paper we apply the modified Chapman-Enskog expansion procedure to find the asymptotic solution of the Fokker-Planck equation related to Brownian motion. We prove that the asymptotic solution is defined by the diffusion equation and show that the difference between the exact and asymptotic solutions is of order e2 where 1/e is related to the magnitude of the collision operator.
10 citations
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TL;DR: In this paper, the partial attraction of motion and the asymptotic stability of unperturbed motion were investigated on the assumption that there exists a Lyapunov function with a positive or negative definite derivative.
10 citations
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10 citations