Green functions for stationary Stokes systems with conormal derivative boundary condition in two dimensions
Jongkeun Choi, Doyoon Kim
TL;DR
This paper constructs Green functions for the stationary Stokes system with conormal boundary conditions in two-dimensional Reifenberg flat domains, addressing measurable coefficients.
Contribution
It introduces a method to construct Green functions for the Stokes system with conormal boundary conditions in irregular domains.
Findings
Green functions successfully constructed for the specified system
Applicable to domains with minimal boundary regularity
Advances understanding of boundary value problems in fluid mechanics
Abstract
We construct Green functions of conormal derivative problems for the stationary Stokes system with measurable coefficients in a two dimensional Reifenberg flat domain.
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Taxonomy
TopicsAdvanced Mathematical Modeling in Engineering · Navier-Stokes equation solutions · Numerical methods in inverse problems