Description

• Title:
  Long time existence of solutions to 2D Navier-Stokes equations with inflow-outflow and heat convection
• Creator:
  Kacprzyk, Piotr
• Description:
  Global existence of regular solutions to the Navier-Stokes equations for velocity and pressure coupled with the heat convection equation for temperature in cylindrical pipe with inflow and outflow in the two-dimensional case is shown. We assume the slip boundary conditions for velocity and the Neumann condition for temperature. First an appropriate estimate is shown and next the existence of solutions is proved by the Leray-Schauder fixed point theorem.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2011.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 37, No 2 (June 2011); 343 - 355;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2011.017/8406
• Subject:
  Navier-Stokes equations;
  heat convection;
  slip boundary condition;
  Neumann condition;
  global existence;
  Leray-Schauder fixed point theorem;
  Primary 35Q30;
  Secondary 35Q35;
  76D03
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2011.017
• Dostawca danych:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other