Smoluchowski–Kramers approximation with state dependent damping and highly random oscillation-Reference-Cited by-同舟云学术

Smoluchowski–Kramers approximation with state dependent damping and highly random oscillation

Published:2023 Issue:1 Volume:28 Page:499
ISSN:1531-3492
Container-title:Discrete and Continuous Dynamical Systems - B
language:
Short-container-title:DCDS-B

Author:

Lv Yan¹,Wang Wei²

Affiliation:

1. School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing, China

2. Department of Mathematics, Nanjing University, Nanjing, China

Abstract

<p style='text-indent:20px;'>The small mass limit (Smoluchowski–Kramers approximation) of class systems of ordinary differential equations describing motions of small mass particle with state dependent friction and high oscillation is derived by a diffusion approximation approach. In the small mass limit, due to the state dependent damping, one additional term appears in the limit equation, which leads to a stochastic differential equation (SDE) as the highly random oscillation appears as a multiplicative white noise.</p>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference13 articles.

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