On the Weak Solvability Via Lagrange Multipliers for a Bingham Model

被引：6

作者：

Cojocaru, Mariana Chivu ^{[1
]}

Matei, Andaluzia ^{[2
]}

机构：

[1] Univ Craiova, Doctoral Sch Sci, AI Cuza 13, Craiova 200585, Romania

[2] Univ Craiova, Dept Math, AI Cuza 13, Craiova 200585, Romania

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2020年 / 17卷 / 05期

基金：

欧盟地平线“2020”;

关键词：

Non-Newtonian fluid; Bingham constitutive law; mixed variational formulation; Lagrange multipliers; weak solution; fixed point; well-posedness; FLOW;

D O I：

10.1007/s00009-020-01596-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the stationary flow of an incompressible non-Newtonian fluid of Bingham type, mathematically described by means of a nonlinear boundary value problem governed by PDEs. The variational formulation which we propose is a mixed variational problem with Lagrange multipliers. First, we obtain existence, uniqueness, and stability results into an abstract framework. Then, we discuss the well-posedness of the mechanical model based on the auxiliary abstract results.

引用

页数：16

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