发表状态 | 已发表Published |
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
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ISSN/eISSN | 0022-247X |
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 |
DOI | 10.1016/j.jmaa.2018.01.027 |
URL | 查看来源 |
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 | |
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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