Green functions of conormal derivative problems for stationary Stokes system
Analysis of PDEs
2018-08-15 v2
Abstract
We study Green functions for stationary Stokes systems satisfying the conormal derivative boundary condition. We establish existence, uniqueness, and various estimates for the Green function under the assumption that weak solutions of the Stokes system are continuous in the interior of the domain. Also, we establish the global pointwise bound for the Green function under the additional assumption that weak solutions of the conormal derivative problem for the Stokes system are locally bounded up to the boundary. We provide some examples satisfying such continuity and boundedness properties.
Keywords
Cite
@article{arxiv.1804.10588,
title = {Green functions of conormal derivative problems for stationary Stokes system},
author = {Jongkeun Choi and Hongjie Dong and Doyoon Kim},
journal= {arXiv preprint arXiv:1804.10588},
year = {2018}
}
Comments
minor revision; accepted in Journal of Mathematical Fluid Mechanics