Averaging principles for nonautonomous multiscale stochastic Burgers equations with reflection
Year: 2026
Type: preprint
Abstract: In this paper, we study averaging principles for nonautonomous multiscale stochastic Burgers equations with reflection. First, we derive a general averaging principle applicable to such equations under minimal assumptions. Subsequently, since the coefficients of the obtained averaged equation still depend on the small scaling parameter $\e$, we impose either periodic or asymptotic conditions on the coefficients, thereby obtain two distinct averaged equations whose coefficients are independent of $\e$ and establish two averaging principles. Stopping times and Khasminskii's time discretization schemes play an important role. Finally, a concrete example is provided to illustrate the applicability and validity of the theoretical results.
Source: arXiv (Cornell University)
Author: Qiao, Huijie
Institution: Southeast University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: 带跳随机偏微分方程若干性质研究
OpenAlex ID: W7212307148