A finite element method for the Navier-Stokes equations under Signorini and Navier-Fujita boundary conditions

被引：0

作者：

Ogorzaly, Justyna ^{[1
]}

机构：

[1] Mil Univ Technol, Warsaw, Poland

来源：

APPLICABLE ANALYSIS | 2025年

关键词：

Navier-Stokes equations; variational-hemivariational inequality; Signorini's condition; Navier-Fujita condition; finite element methods;

D O I：

10.1080/00036811.2025.2468502

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider incompressible Navier-Stokes equations with the Signorini boundary condition and a nonlinear Navier-Fujita slip condition. Next, we present a weak formulation of considered problem for which we provide an existence and uniqueness result. Finally, we consider the finite element method for a regularized penalty problem. The well-posedness and error estimates are established.

引用

页数：21

共 28 条

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