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Small mass limit and diffusion approximation for a generalized Langevin equation with infinite number degrees of freedom

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Abstract An approximation of a Generalized Langevin equations with small mass and randomly fast oscillation is derived. By some bounded estimates and a diffusion approximation the limiting equation is shown… Click to show full abstract

Abstract An approximation of a Generalized Langevin equations with small mass and randomly fast oscillation is derived. By some bounded estimates and a diffusion approximation the limiting equation is shown to be stochastic partial differential equations (SPDEs) driven by white noise.

Keywords: generalized langevin; diffusion approximation; approximation generalized; small mass; approximation

Journal Title: Journal of Differential Equations
Year Published: 2021

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