Description

• Title:
  Steady solutions to the Navier-Stokes-Fourier system for dense compressible fluid
• Creator:
  Axman, Šimon;
  Mucha, Piotr Bogusław;
  Pokorný, Milan
• Description:
  We establish existence of strong solutions to the stationary Navier-Stokes-Fourier system for compressible flows with density dependent viscosities in regime of heat conducting fluids with very high densities. In comparison to the known results considering the low Mach number case, we work in the $L^p$-setting combining the methods for the weak solutions with the method of decomposition. Moreover, the magnitude of gradient of the density as well as other data are not limited, our only assumption is the given total mass must be sufficiently large.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2018 Topological Methods in Nonlinear Analysis
• Date:
  2018.08.04
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 52, No 1 (September 2018); 259 - 283;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.023/15321 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2018.023/15322
• Subject:
  Steady compressible Navier-Stokes-Fourier system;
  low Mach number limit;
  strong solution;
  denisty dependent viscosities;
  large data;
  existence via Schauder typefixed point theorem;
  35Q35;
  76N10
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.023
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other