Point singularities of 3D stationary Navier-Stokes flows

TL;DR

This paper characterizes the nature of point singularities in very weak solutions of 3D stationary Navier-Stokes equations within a punctured ball, focusing on solutions that are small in weak $L^3$ space.

Contribution

It provides a detailed analysis of singularities in weak solutions of 3D stationary Navier-Stokes equations under smallness conditions in weak $L^3$.

Findings

Identification of conditions for singularity formation

Description of the structure of singularities

Extension of existing regularity results

Abstract

This article characterizes the singularities of very weak solutions of 3D stationary Navier-Stokes equations in a punctured ball which are sufficiently small in weak $L^3$.