Description

• Title:
  Large time regular solutions to the Navier-Stokes equations in cylindrical domains
• Creator:
  Rencławowicz, Joanna;
  Zajączkowski, Wojciech M.
• Description:
  We prove the large time existence of solutions to the Navier-Stokes equations with slip boundary conditions in a cylindrical domain. Assuming smallness of $L_2$-norms of derivatives of initial velocity with respect to variable along the axis of the cylinder, we are able to obtain estimate for velocity in $W^{2,1}_2$ without restriction on its magnitude. Then existence follows from the Leray-Schauder fixed point theorem.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2008.09.01
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 32, No 1 (September 2008); 69 - 87;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.036/8779
• Subject:
  Navier-Stokes equations;
  motions in cylindrical domains;
  boundary slip conditions;
  global existence of regular solutions;
  large data;
  35Q35;
  76D03;
  76D05
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2008.036
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other