Regularity of the Stokes-Darcy System

Author

Wenqi Lyu
Xiaoming Wang, Missouri University of Science and TechnologyFollow

Abstract

We present a proof of the elliptic regularity property for the steady state Stokes-Darcy equation in a two-dimensional domain equipped with the Beavers-Joseph-Saffman-Jones (BJSJ) interface condition. Such regularity results are fundamental to the numerical analysis of various numerical methods for the Stokes-Darcy system.

Recommended Citation

W. Lyu and X. Wang, "Regularity of the Stokes-Darcy System," Journal of Mathematical Analysis and Applications, vol. 518, no. 1, article no. 126700, Elsevier, Feb 2023.

The definitive version is available at https://doi.org/10.1016/j.jmaa.2022.126700

Department(s)

Mathematics and Statistics

Keywords and Phrases

Regularity; Stokes-Darcy System

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

01 Feb 2023