WELL-POSEDNESS OF THE TIME-SPACE FRACTIONAL STOCHASTIC NAVIER-STOKES EQUATIONS DRIVEN BY FRACTIONAL BROWNIAN MOTION
WELL-POSEDNESS OF THE TIME-SPACE FRACTIONAL STOCHASTIC NAVIER-STOKES EQUATIONS DRIVEN BY FRACTIONAL BROWNIAN MOTION
复制标题
分数布朗运动驱动的时空分数阶纳维-斯托克斯方程的适定性
DOI：
10.1051/mmnp/2018003
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发表时间：
2018
影响因子：
2.2
通讯作者：
Huang Jianhua
中科院分区：
文献类型：
--
作者：
Xu Pengfei;Zeng Caibin;Huang Jianhua
本文主要研究分数布朗运动驱动的时空分数阶Navier-Stokes方程。首先建立了非局部随机卷积的时空正则性，然后利用Banach不动点定理和Mittag-Leffler族算子得到了其温和解的存在唯一性.
The current paper is devoted to the time-space fractional Navier-Stokes equations driven by fractional Brownian motion. The spatial-temporal regularity of the nonlocal stochastic convolution is firstly established, and then the existence and uniqueness of mild solution are obtained by Banach Fixed Point theorem and Mittag-Leffler families operators.