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Stochastic Navier–Stokes equations with Caputo derivative driven by fractional noises.
- Source :
-
Journal of Mathematical Analysis & Applications . May2018, Vol. 461 Issue 1, p595-609. 15p. - Publication Year :
- 2018
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0022247X
- Volume :
- 461
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Journal of Mathematical Analysis & Applications
- Publication Type :
- Academic Journal
- Accession number :
- 127843881
- Full Text :
- https://doi.org/10.1016/j.jmaa.2018.01.027