Description

• Title:
  Strong solutions in $L^2$ framework for fluid-rigid body interaction problem. Mixed case
• Creator:
  Al Baba, Hind;
  Chemetov, Nikolai V.;
  Nečasová, Šárka;
  Muha, Boris
• Description:
  The paper deals with the problem describing the motion of a rigid body inside a viscous incompressible fluid when the mixed boundary conditions are considered. At the fluid-rigid body interface the slip Navier boundary condition is prescribed, having the continuity of velocity just in the normal component, and the Dirichlet condition is given on the boundary of the fluid domain. The existence and uniqueness of the local strong solution is proven by the local transformation and the fixed point argument.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2018 Topological Methods in Nonlinear Analysis
• Date:
  2018.08.04
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 52, No 1 (September 2018); 337 - 350;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.028/15325 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2018.028/15326
• Subject:
  Fluid-rigid motion interaction;
  Navier boundary condition;
  strong solution;
  Primary;
  35Q35;
  35Q70;
  Secondary;
  76D03;
  76D27
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.028
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other