Description

• Title:
  Global regular solutions to the Navier-Stokes equations in an axially symmetric domain
• Creator:
  Zajączkowski, Wojciech M.
• Description:
  We prove the existence of global regular solutions to the Navier-Stokes equations in an axially symmetric domain in $\mathbb R^3$ and with boundary slip conditions. We assume that initial angular component of velocity and angular component of the external force and angular derivatives of the cylindrical components of initial velocity and of the external force are sufficiently small in corresponding norms. Then there exists a solution such that velocity belongs to $W_{5/2}^{2,1}(\Omega^T)$ and gradient of pressure to $L_{5/2}(\Omega^T)$, and we do not have restrictions on $T$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2009.06.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 33, No 2 (June 2009); 233 - 274;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2009.016/8606
• Subject:
  Navier-Stokes equations;
  axially symmetric domain;
  global regular solutions;
  slip boundary conditions;
  35Q35;
  35K20;
  76D05;
  76D03
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2009.016
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other