Well-posedness of stochastic second grade fluids

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:454

Article

Chemetov, Nikolai¹  Cipriano, Fernanda^2,3 

[1] Univ Lisbon, Dept Matemat, Fac Ciencias, Lisbon, Portugal

[2] Univ Nova Lisboa, Fac Ciencias & Tecnol, Dept Matemat, Lisbon, Portugal

[3] Ctr Matemat & Aplicacoes, Lisbon, Portugal

关键词: Second grade fluid;    Solvability;    Stability;    Stochastic;   

DOI  :  10.1016/j.jmaa.2017.04.060

来源: Elsevier

【 摘 要 】

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. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free