Amplitude equations for SPDEs with quadratic nonlinearities forced by additive and multiplicative noise
Analysis of PDEs
2021-12-14 v1 Probability
Abstract
This article deals with stochastic partial differential equations with quadratic nonlinearities perturbed by small additive and multiplicative noise. We present the approximate solution of the original equation via the amplitude equation and give the rigorous error analysis. For illustration, we apply our main theorems to stochastic Burger's equation.
Keywords
Cite
@article{arxiv.2112.06229,
title = {Amplitude equations for SPDEs with quadratic nonlinearities forced by additive and multiplicative noise},
author = {Shiduo Qu and Wenlei Li and Shaoyun Shi},
journal= {arXiv preprint arXiv:2112.06229},
year = {2021}
}