Description

• Title:
  Global special regular solutions to the Navier-Stokes equations in a cylindrical domain without the axis of symmetry
• Creator:
  Zajączkowski, Wojciech M.
• Description:
  Global existence of regular solutions to the Navier-Stokes equations in a bounded cylindrical domain without the axis of symmetry and with boundary slip conditions is proved. We showed the existence of solutions without restrictions on the magnitude of the initial velocity assuming only that the $L_2$-norms of the angular derivative of the cylindrical components of the initial velocity and the external force are sufficiently small. To prove global existence some decay estimates on the external force are imposed.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2004.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 24, No 1 (September 2004); 69 - 105;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2004.020/9235
• Subject:
  Navier-Stokes equations;
  initial-boundary value problem;
  global existence;
  regularity;
  large data;
  35Q30;
  76D03;
  76D05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2004.020
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other