Well-posedness of stochastic second grade fluids

被引：16

作者：

Chemetov, Nikolai ^{[1
]}

Cipriano, Fernanda ^{[2
,3
]}

机构：

[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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 454卷 / 02期

关键词：

Second grade fluid; Solvability; Stability; Stochastic; NAVIER-STOKES EQUATIONS; INVISCID LIMIT; EULER EQUATIONS; COMPLEX FLUID; ALPHA MODEL; CONVERGENCE; WEAK;

D O I：

10.1016/j.jmaa.2017.04.060

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：585 / 616

页数：32

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