Global large solutions to the two dimensional compressible Navier-Stokes equations

TL;DR

This paper establishes the existence of global large solutions to the 2D compressible Navier-Stokes equations without smallness assumptions on initial velocity components.

Contribution

It provides the first proof of global large solutions in 2D for compressible Navier-Stokes equations without initial velocity smallness constraints.

Findings

Existence of global large solutions in 2D compressible Navier-Stokes.

No smallness assumption needed on one component of initial velocity.

Advances understanding of solution behavior for large initial data.

Abstract

We obtain the global large solutions to the compressible Navier-Stokes equations in $\mathbb{R}^2$. The solution is large in the sense that there is no smallness assumption applied to one component of the initial incompressible velocity.