On nonhomogeneous slip boundary conditions for 2D incompressible exterior fluid flows

TL;DR

This paper investigates the existence of weak solutions to the steady Navier-Stokes equations in a 2D exterior domain with nonhomogeneous slip boundary conditions, expanding understanding of fluid flow under these boundary conditions.

Contribution

It proves the existence of weak solutions for arbitrary data in the context of nonhomogeneous slip boundary conditions for 2D exterior flows.

Findings

Existence of weak solutions established

Applicable to arbitrary boundary data

Advances understanding of slip boundary effects

Abstract

The paper examines the issue of existence of solutions to the steady Navier-Stokes equations in an exterior domain in $\mathbb{R}^2$. The system is studied with nonhomogeneous slip boundary conditions. The main results proves the existence of weak solutions for arbitrary data.