当前位置: X-MOL 学术Appl. Anal. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Steady flow with unilateral and leak/slip boundary conditions by the Stokes variational–hemivariational inequality
Applicable Analysis ( IF 1.1 ) Pub Date : 2020-10-15 , DOI: 10.1080/00036811.2020.1834084
Stanisław Migórski 1, 2 , Sylwia Dudek 3
Affiliation  

ABSTRACT

The stationary Stokes equations for a generalized Newtonian fluid with nonlinear unilateral, and slip and leak boundary conditions are investigated. Boundary conditions include the generalized Clarke gradient and the convex subdifferential, and the variational formulation of the problem is the variational–hemivariational inequality for the velocity field. Existence and uniqueness result for weak solution is proved by using a surjectivity theorem for a pseudomonotone perturbation of a maximal monotone operator.



中文翻译:

斯托克斯变分-半变分不等式具有单边和泄漏/滑移边界条件的稳态流动

摘要

研究了具有非线性单边的广义牛顿流体的平稳斯托克斯方程,以及滑移和泄漏边界条件。边界条件包括广义克拉克梯度和凸次微分,问题的变分形式是速度场的变分-半变分不等式。用满射性定理证明了最大单调算子的伪单调摄动的弱解存在唯一性。

更新日期:2020-10-15
down
wechat
bug