# On Type I Blowups of Suitable Weak Solutions to Navier-Stokes Equations near Boundary

## TL;DR

This paper investigates boundary Type I blowups in suitable weak solutions to Navier-Stokes equations, linking boundary blowup behavior to the existence of certain ancient solutions in half space.

## Contribution

It establishes a connection between boundary Type I blowups and the existence of non-trivial ancient solutions in half space, advancing understanding of boundary singularities.

## Key findings

- Boundary Type I blowups imply existence of ancient solutions.
- Non-trivial ancient solutions lead to boundary blowups.
- Results depend on specific assumptions about solutions.

## Abstract

In this note, boundary Type I blowups of suitable weak solutions to the Navier-Stokes equations are discussed. In particular, it has been shown that, under certain assumptions, the existence of non-trivial mild bounded ancient solutions in half space leads to the existence of suitable weak solutions with Type I blowup on the boundary.