Navier-Stokes方程马尔可夫解的临界强Feller正则性
概率论
2010-03-25 v1
摘要
本文的主要目的是证明,由高斯噪声驱动的三维Navier-Stokes方程的马尔可夫解,在由Stokes算子的四分之一次幂定义域给出的临界拓扑下具有强Feller性质。
引用
@article{arxiv.1003.4623,
title = {Critical strong Feller regularity for Markov solutions to the Navier-Stokes equations},
author = {Marco Romito},
journal= {arXiv preprint arXiv:1003.4623},
year = {2010}
}
备注
submitted to JMAA for the special issue on "Stochastic PDEs in Fluid Dynamics, Particle Physics and Statistical Mechanics"