摘要
In this paper, we consider the second-grade fluid equations in a 2D exterior domain satisfying the non-slip boundary conditions. The second-grade fluid model is a wellknown non-Newtonian fluid model, with two parameters: α, which represents the length-scale,while ν > 0 corresponds to the viscosity. We prove that, as ν, α tend to zero, the solution of the second-grade fluid equations with suitable initial data converges to the one of Euler equations, provided that ν = o(α^(4/3)). Moreover, the convergent rate is obtained.
作者
游小光
臧爱彬
Xiaoguang YOU;Aibin ZANG(School of Mathematics,Northwest University,Xi’an,710069,China;School of Mathematics and Computer Science&The Center of Applied Mathematics,Yichun University,Yichun,336000,China)
基金
Aibin Zang was supported partially by the National Natural Science Foundation of China (11771382, 12061080, 12261093)
the Jiangxi Provincial Natural Science Foundation (20224ACB201004)。
