Green functions of mixed boundary value problems for stationary Stokes systems in two dimensions

2024/02/26 by Choi, Jongkeun, Yang, Minsuk
#35J08 #35J57 #76D07 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2402.16241

Abstract

We establish the existence, uniqueness, and various estimates for Green functions of mixed Dirichlet-conormal derivative problems for the stationary Stokes system with measurable coefficients in a two-dimensional Reifenberg flat domain with a rough separation.

Related

• Green functions for stationary Stokes systems with conormal derivative boundary condition in two dimensions
• Conormal derivative problems for stationary Stokes system in Sobolev spaces
• The Green function for the Stokes system with measurable coefficients
• Fundamental solutions for stationary Stokes systems with measurable coefficients
• Green functions for pressure of Stokes systems