Strong solutions to the Navier–Stokes–Fourier system with slip–inflow boundary conditions. Issue 12 (29th July 2013)

• Record Type: Journal Article
• Authors: Piasecki, T.; Pokorný, M.
• Is Part Of: Zeitschrift für angewandte Mathematik und Mechanik. Volume 94:Issue 12(2014)
• Page Start: 1035
• Page End: 1057
• Publication Date: 2013-07-29
• Subjects: Steady Navier–Stokes–Fourier system -- inflow boundary conditions -- strong solution -- small data.; Mathematics -- Periodicals; Mechanics, Applied -- Periodicals; Engineering -- Periodicals; 519
• DOI: 10.1002/zamm.201300014
• Languages: English
• ISSNs: 0044-2267

Abstract

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. Abstract : The authors 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. They 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.