无界二维区域中随机 Navier-Stokes 方程的不变测度
概率论
2016-07-05 v2
摘要
基于两位作者与 J. Seidler 近期关于随机非线性梁方程和波动方程的 bw-Feller 性质的工作，我们证明了无界区域中带乘性噪声的随机二维 Navier-Stokes 方程不变测度的存在性。这回答了第一作者与 Y. Li 在加性噪声情形下证明相应结果后遗留的一个开放问题。
引用
@article{arxiv.1502.02637,
title = {Invariant measure for the stochastic Navier-Stokes equations in unbounded 2D domains},
author = {Zdzisław Brzeźniak and Elżbieta Motyl and Martin Ondrejat},
journal= {arXiv preprint arXiv:1502.02637},
year = {2016}
}
备注
Section 2 of the paper is an introductory section for the convenience of a reader and hence relies heavily on paper arXiv:1208.3386 Some substantial editial changes with respect to version 1 have been made resulting in better presentation