Description

• Title:
  Global existence of solutions to the nonlinear thermoviscoelasticity system with small data
• Creator:
  Gawinecki, Jerzy A.;
  Zajączkowski, Wojciech M.
• Description:
  We consider the nonlinear system of partial differential equations describing the thermoviscoelastic medium ocupied a bounded domain $\Omega\subset\mathbb{R}^3$. We proved the global existence (in time) of solution for the nonlinear thermoviscoelasticity system for the initial-boundary value problem with the Dirichlet boundary conditions for the displacement vector and the heat flux at the boundary. In the proof we assume some growth conditions on nonlinearity and some smallness conditions on data in some norms.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2012.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 39, No 2 (June 2012); 263 - 284;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2012.015/8364
• Subject:
  Nonlinear thermoviscoelasticity;
  initial-boundary value problem;
  local existence;
  global existence;
  Besov spaces;
  small data;
  35A05;
  35G25;
  35G30;
  80A20;
  74D10;
  74G25
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2012.015
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other