Global well-posedness of compressible Navier-Stokes equations for some classes of large initial data

TL;DR

This paper establishes the global well-posedness of 3D compressible Navier-Stokes equations for certain large initial data, leveraging the system's structure, especially the effective viscous flux.

Contribution

It proves global existence and uniqueness for large oscillation and energy initial data, extending previous results to more general initial conditions.

Findings

Global well-posedness for large initial data

Utilization of the effective viscous flux structure

Extension of existing theory to broader initial conditions

Abstract

We prove the global well-posedness of three dimensional compressible Navier-Stokes equations for some classes of large initial data, which is of large oscillation for the density and large energy for the velocity. The structure of the system (especially, the effective viscous flux) is fully exploited.