# A class large solution of 3D incompressible micropolar fluid system

## TL;DR

This paper constructs a class of global large solutions for the 3D incompressible micropolar fluid system, demonstrating that solutions can exist globally even with arbitrarily large initial data in a specific Besov space.

## Contribution

It introduces a novel method to establish global solutions for the 3D micropolar fluid system with large initial data in a critical Besov space.

## Key findings

- Existence of global solutions with large initial data
- Unique solutions in the specified function space
- Initial data can be arbitrarily large in ^{-1}_{ty,ty}

## Abstract

In this paper, we construct a class global large solution to the 3D incompressible micropolar fluid system. Precisely speaking, by choosing a special initial data which can be arbitrarily large in $\dot{B}^{-1}_{\infty,\infty}$, the system has a unique global solution.