Strong solutions to the Navier-Stokes-Fourier system with slip-inflow boundary conditions

2012/11/30 by Piasecki, Tomasz, Pokorny, Milan
#35Q30 #76N10 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1211.7303

Abstract

We consider a system of partial differential equations describing the steady flow of a compressible heat conducting Newtonian fluid in a three-dimensional channel with inflow and outflow part. We show the existence of a strong solution provided the data are close to a constant, but nontrivial flow with sufficiently large dissipation in the energy equation.

Related

• Vanishing dissipation limit for the Navier-Stokes-Fourier system
• On the steady compressible Navier-Stokes-Fourier system
• Steady compressible Navier-Stokes-Fourier system with slip boundary conditions arising from kinetic theory
• Navier-Stokes-Fourier system with Dirichlet boundary conditions
• Existence of stationary weak solutions for the heat conducting flows