Regularity of the Stokes-Darcy System
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.
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
Mathematics and Statistics
Keywords and Phrases
Regularity; Stokes-Darcy System
International Standard Serial Number (ISSN)
Article - Journal
© 2023 Elsevier, All rights reserved.
01 Feb 2023