Global Stability and Non-Vanishing Vacuum States of the 3D Full Compressible Navier–Stokes equations

Key Points

• Global stability is achieved in 3D compressible Navier-Stokes equations, indicating solid ground in fluid behavior.
• Key evidence shows that vacuum states do not vanish, confirming persistent flow characteristics across conditions.
• Analysis of mathematical models reveals enhanced understanding of fluid dynamics in three dimensions and their complexities.
• This finding underlines the importance of solidifying theoretical frameworks in fluid dynamics and predictive behavior.