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题名Stochastic Navier–Stokes equations with Caputo derivative driven by fractional noises
作者
发表日期2018-05-01
发表期刊Journal of Mathematical Analysis and Applications
ISSN/eISSN0022-247X
卷号461期号:1页码:595-609
摘要

In this paper, we consider the extended stochastic Navier–Stokes equations with Caputo derivative driven by fractional Brownian motion. We firstly derive the pathwise spatial and temporal regularity of the generalized Ornstein–Uhlenbeck process. Then we discuss the existence, uniqueness, and Hölder regularity of mild solutions to the given problem under certain sufficient conditions, which depend on the fractional order α and Hurst parameter H. The results obtained in this study improve some results in existing literature.

关键词Caputo derivative Fractional Brownian motion Mild solutions Stochastic Navier–Stokes equations
DOI10.1016/j.jmaa.2018.01.027
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收录类别SCIE
语种英语English
WOS研究方向Mathematics
WOS类目Mathematics, Applied ; Mathematics
WOS记录号WOS:000426141100035
Scopus入藏号2-s2.0-85044844979
引用统计
被引频次:39[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符https://repository.uic.edu.cn/handle/39GCC9TT/10506
专题个人在本单位外知识产出
作者单位
1.School of Mathematics and Statistics,Henan University,Kaifeng,475004,China
2.Department of Mathematics,Swansea University,Swansea,SA2 8PP,United Kingdom
推荐引用方式
GB/T 7714
Zou, Guang an,Lv, Guangying,Wu, Jianglun. Stochastic Navier–Stokes equations with Caputo derivative driven by fractional noises[J]. Journal of Mathematical Analysis and Applications, 2018, 461(1): 595-609.
APA Zou, Guang an, Lv, Guangying, & Wu, Jianglun. (2018). Stochastic Navier–Stokes equations with Caputo derivative driven by fractional noises. Journal of Mathematical Analysis and Applications, 461(1), 595-609.
MLA Zou, Guang an,et al."Stochastic Navier–Stokes equations with Caputo derivative driven by fractional noises". Journal of Mathematical Analysis and Applications 461.1(2018): 595-609.
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