Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774783 | Journal of Mathematical Analysis and Applications | 2017 | 32 Pages |
Abstract
The theory of turbulent Newtonian fluids shows that the choice of the boundary condition is a relevant issue because it can modify the behavior of a fluid by creating or avoiding a strong boundary layer. In this study, we consider stochastic second grade fluids filling a two-dimensional bounded domain with the Navier-slip boundary condition (with friction). We prove the well-posedness of this problem and establish a stability result. Our stochastic model involves a multiplicative white noise and a convective term with third order derivatives, which significantly complicate the analysis.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Nikolai Chemetov, Fernanda Cipriano,