Averaging principle for slow-fast systems of stochastic PDEs with rough coefficients

التفاصيل البيبلوغرافية
العنوان: Averaging principle for slow-fast systems of stochastic PDEs with rough coefficients
المؤلفون: Cerrai, Sandra, Zhu, Yichun
سنة النشر: 2022
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Probability
الوصف: In this paper, we consider a class of slow-fast systems of stochastic partial differential equations where the nonlinearity in the slow equation is not continuous and unbounded. We first provide conditions that ensure the existence of a martingale solution. Then we prove that the laws of the slow motions are tight, and any of their limiting points is a martingale solution for a suitable averaged equation. Our results apply to systems of stochastic reaction-diffusion equations where the reaction term in the slow equation is only continuous and has polynomial growth.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2212.14552
رقم الأكسشن: edsarx.2212.14552
قاعدة البيانات: arXiv