Description

• Title:
  $L_2$-theory for two incompressible fluids separated by a free interface
• Creator:
  Denisova, Irina V.;
  Solonnikov, Vsevolod A.
• Description:
  The paper is devoted to the problem of non-stationary motion of two viscous incompressible fluids separated by a free surface and contained in a bounded vessel. It is assumed that the fluids are subject to mass forces and capillary forces at the interface. We prove the stability of a rest state under the assumption that initial velocities are small, a free interface is close to a sphere at an initial instant of time, and mass forces decay as $t\to\infty$.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2018 Topological Methods in Nonlinear Analysis
• Date:
  2018.08.16
• 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); 213 - 238;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.019/15378 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2018.019/15379
• Subject:
  Two-phase problem;
  viscous incompressible fluids;
  interface problem with suface tension;
  Navier-Stokes system;
  Sobolev-Slobodetskiĭ spaces;
  Primary;
  35Q30;
  76D05;
  Secondary;
  35R35
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.019
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other