A Nonlocal Stokes System with Volume Constraints

IF 1.9 4区数学 Q1 MATHEMATICS

Numerical Mathematics-Theory Methods and Applications Pub Date : 2022-10-01 DOI:10.4208/nmtma.oa-2022-0002s

Qiang Du, Zuoqiang Shi

引用次数: 0

Abstract

In this paper, we introduce a nonlocal model for linear steady Stokes system with physical no-slip boundary condition. We use the idea of volume constraint to enforce the no-slip boundary condition and prove that the nonlocal model is well-posed. We also show that and the solution of the nonlocal system converges to the solution of the original Stokes system as the nonlocality vanishes.

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具有体积约束的非局部Stokes系统

本文引入了具有物理无滑移边界条件的线性稳态Stokes系统的非局部模型。我们利用体积约束的思想来实现无滑移边界条件，并证明了非局部模型是适定的。我们还证明了当非定域系统消失时，非定域系统的解收敛于原Stokes系统的解。

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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来源期刊

Numerical Mathematics-Theory Methods and Applications 数学-数学

CiteScore

2.80

自引率

7.70%

发文量

审稿时长

>12 weeks

期刊介绍： Numerical Mathematics: Theory, Methods and Applications (NM-TMA) publishes high-quality original research papers on the construction, analysis and application of numerical methods for solving scientific and engineering problems. Important research and expository papers devoted to the numerical solution of mathematical equations arising in all areas of science and technology are expected. The journal originates from the journal Numerical Mathematics: A Journal of Chinese Universities (English Edition). NM-TMA is a refereed international journal sponsored by Nanjing University and the Ministry of Education of China. As an international journal, NM-TMA is published in a timely fashion in printed and electronic forms.