A new blow-up criterion for the 2D full compressible Navier-Stokes equations without heat conduction in a bounded domain

2022/10/28 by Fan, Jie, Jiu, Quansen
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2210.16115

Abstract

This paper is to derive a new blow-up criterion for the 2D full compressible Navier-Stokes equations without heat conduction in terms of the density ρ and the pressure P. More precisely, it indicates that in a bounded domain the strong solution exists globally if the norm ‖ρ||_L^∞(0,t;L^∞)+||P||_{L^p0(0,t;L^∞)}<∞ for some constant p₀ satisfying 1

Related

• Singularity formation to the two-dimensional full compressible Navier-Stokes equations with zero heat conduction in a bounded domain
• Blow up criteria for the compressible Navier--Stokes equations
• One New Blowup Criterion for the 2D Full Compressible Navier-Stokes System
• On Existence and Blowup Criterion of Strong Solutions to Cauchy Problem of 2D Full Compressible Navier-Stokes System with Vacuum
• A Blow-up Criterion for Two Dimensional Compressible Viscous Heat-Conductive Flows