# Some new properties of a suitable weak solution to the Navier-Stokes equations

## TL;DR

This paper investigates the initial-boundary value problem for the Navier-Stokes equations, constructing a global-in-time weak solution with novel properties under specific initial data conditions.

## Contribution

It introduces new properties for weak solutions to the Navier-Stokes equations that are valid globally in time, expanding understanding of solution behavior.

## Key findings

- Construction of a weak solution with new properties
- Results valid for initial data in J^2(Ω)
- Solutions exhibit properties that are global in time

## Abstract

The paper is concerned with the IBVP of the Navier-Stokes equations. The goal is the construction of a weak solution enjoying some new properties. Of course, we look for properties which are global in time. The results hold assuming an initial data $v_0 \in J^2({\Omega})$.