薄膜中具有库仑定律的广义非牛顿流体解的强收敛性

IF 1.8 3区数学 Q1 MATHEMATICS

AIMS Mathematics Pub Date : 2023-01-01 DOI:10.3934/math.2023635

Hana Taklit Lahlah, H. Benseridi, B. Cherif, M. Dilmi, S. Boulaaras, Rabab Alharbi

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引用次数: 0

摘要

本文的目的是研究黏度随库仑摩擦服从幂律的非牛顿不可压缩流体的速度的强收敛性。我们假设薄层的流体系数随薄层参数$ \varepsilon $而变化。我们首先给出问题的描述和基本方程。然后给出了系统的功能框架。下一段留给主要的收敛结果。最后，我们给出了这些结果的详细证明。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the strong convergence of the solution of a generalized non-Newtonian fluid with Coulomb law in a thin film

The goal of this paper is to examine the strong convergence of the velocity of a non-Newtonian incompressible fluid whose viscosity follows the power law with Coulomb friction. We assume that the fluid coefficients of the thin layer vary with respect to the thin layer parameter $ \varepsilon $. We give in a first step the description of the problem and basic equations. Then, we present the functional framework. The following paragraph is reserved for the main convergence results. Finally, we give the detail of the proofs of these results.

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来源期刊

AIMS Mathematics Mathematics-General Mathematics

CiteScore

3.40

自引率

13.60%

发文量

769

审稿时长

90 days

期刊介绍： AIMS Mathematics is an international Open Access journal devoted to publishing peer-reviewed, high quality, original papers in all fields of mathematics. We publish the following article types: original research articles, reviews, editorials, letters, and conference reports.