On the construction of suitable weak solutions to the 3D Navier-Stokes equations in a bounded domain by an artificial compressibility method

TL;DR

This paper demonstrates that suitable weak solutions to the 3D Navier-Stokes equations in bounded domains can be constructed using an artificial compressibility approximation method.

Contribution

It introduces a specific artificial compressibility approach to construct suitable weak solutions for the 3D Navier-Stokes equations in bounded domains.

Findings

Suitable weak solutions can be obtained via the proposed artificial compressibility method.

The method provides a new way to approximate solutions in bounded domains.

The approach potentially simplifies the analysis of Navier-Stokes solutions.

Abstract

In this paper we will prove that suitable weak solutions of three dimensional Navier-Stokes equations in bounded domain can be constructed by a particular type of artificial compressibility approximation.