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Averaging principles for nonautonomous multiscale stochastic Burgers equations with reflection
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.
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BibTeX
@misc{qiao2026averaging,
title = {{Averaging principles for nonautonomous multiscale stochastic Burgers equations with reflection}},
author = {Huijie Qiao},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.11002},
eprint = {2609.11002},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.11002},
}
RIS
TY - UNPB
TI - Averaging principles for nonautonomous multiscale stochastic Burgers equations with reflection
AU - Huijie Qiao
PY - 2026
DA - 2026/09/10
PB - arXiv
DO - 10.48550/arxiv.2609.11002
UR - https://arxiv.org/abs/2609.11002
AB - 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.
ER -