Vanishing Porosity Limit of the Coupled Stokes-Brinkman System

Author

Mingwen Fei
Dongjuan Niu
Xiaoming Wang, Missouri University of Science and TechnologyFollow

Abstract

We investigate the small porosity asymptotic behavior of the coupled Stokes-Brinkman system in the presence of a curved interface between the Stokes region and the Brinkman region. in particular, we derive a set of approximate solutions, validated via rigorous analysis, to the coupled Stokes-Brinkman system. of particular interest is that the approximate solution satisfies a generalized Beavers-Joseph-Saffman-Jones interface condition (1.9) with the constant of proportionality independent of the curvature of the interface.

Recommended Citation

M. Fei et al., "Vanishing Porosity Limit of the Coupled Stokes-Brinkman System," Journal of Mathematical Analysis and Applications, vol. 486, no. 2, article no. 123895, Elsevier, Jun 2020.

The definitive version is available at https://doi.org/10.1016/j.jmaa.2020.123895

Department(s)

Mathematics and Statistics

Comments

National Natural Science Foundation of China, Grant 2019B030301001

Keywords and Phrases

Beavers-Joseph-Saffman-Jones Interface Condition; Brinkman Equations; Porosity; Stokes Equations

International Standard Serial Number (ISSN)

1096-0813; 0022-247X

Document Type

Article - Journal

Document Version

Citation

File Type

text

Language(s)

English

Rights

© 2023 Elsevier, All rights reserved.

Publication Date

15 Jun 2020