Description

• Title:
  Parabolic equations with localized large diffusion: Rate of convergence of attractors
• Creator:
  Carvalho, Alexandre N.;
  Pires, Leonardo
• Description:
  In this paper we study the asymptotic nonlinear dynamics of scalar semilinear parabolic problems of reaction-diffusion type when the diffusion coefficient becomes large in a subregion in the interior to the domain. We obtain, under suitable assumptions, that the family of attractors behaves continuously and we exhibit the rate of convergence. An accurate description of the localized large diffusion is necessary.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.02.16
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 53, No 1 (March 2019); 1 - 23;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.048/16839 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2018.048/16840
• Subject:
  Localized large diffusion;
  reaction diffusion equations;
  rate of convergence;
  attractors;
  35K58;
  35K57;
  35K67
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2018.048
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other