Description

• Title:
  Decently regular steady solutions to the compressible NSAC system
• Creator:
  Axman, Šimon
• Description:
  We aim at proving existence of weak solutions to the stationary compressible Navier-Stokes system coupled with the Allen-Cahn equation - NSAC system. The model is studied in a bounded three dimensional domain with slip boundary conditions for the momentum equations and the Neumann condition for the Allen-Cahn model. The main result establishes existence of weak solutions with bounded densities. The construction is possible assuming sufficiently large value of the heat capacity ratio $\gamma$ \hbox{$ (p \sim \varrho^\gamma$)}. As a corollary we obtain weak solutions for a less restrictive case losing pointwise boundedness of the density.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.05.29
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 48, No 1 (September 2016); 131 - 157;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.042/8901 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2016.042/8902
• Subject:
  Navier--Stokes--Allen--Cahn equations;
  steady compressible flow;
  existence and regularity of the solutions;
  76N10;
  35Q30
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2016.042
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other