Well-posedness of stochastic second grade fluids

作者：Chemetov Nikolai; Cipriano Fernanda^*

来源：Journal of Mathematical Analysis and Applications, 2017, 454(2): 585-616.

DOI：10.1016/j.jmaa.2017.04.060

• Second grade fluid
• Solvability
• Stability
• Stochastic

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.

• 出版日期2017-10-15