paper

Diffusion Approximation for Transport Equations with Dissipative Drifts for Time Dependent Coefficients

arXiv:2211.03839

Abstract

We consider a generalization of classical results of Freidlin and Wentzell to the case of time dependent dissipative drifts. We show the convergence of diffusions with multiplicative noise in the zero limit of a diffusivity parameter to the related dynamical systems. The solution to the associated transport equation is obtained as an application.

arXiv admin note: text overlap with arXiv:2205.01750

Diffusion Approximation for Transport Equations with Dissipative Drifts for Time Dependent Coefficients · wovepaper