A Nonlocal Stokes Systemwith Volume Constraints

作     者：Qiang Du Zuoqiang Shi 

作者机构：Department of Applied Physics and Applied Mathematicsand Data Science InstituteColumbia UniversityNew YorkNY 10027USA Yau Mathematical Sciences CenterTsinghua UniversityBeijing 100084China Yanqi Lake Beijing Institute of Mathematical Sciences and ApplicationsBeijing 101408China 

出 版 物：《Numerical Mathematics(Theory,Methods and Applications)》 (高等学校计算数学学报（英文版）)

年 卷 期：2022年第15卷第4期

页      面：903-937页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：The research of Z.S.was supported in part by grant NSFC 12071244 The research of Q.D.was supported in part by NSF DMS-2012562 and DMS-1937254 

主　　题：Nonlocal Stokes system nonlocal operators smoothed particle hydrodynamics incompressible flows well-posedness local limit 

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