Description

• Title:
  Exponential attractor for the Cahn-Hilliard-Oono equation in R^N
• Creator:
  Cholewa, Jan W.;
  Czaja, Radosław
• Description:
  We consider the Cahn-Hilliard-Oono equation in the whole of $\mathbb{R}^N$, $N\leq 3$. We prove the existence of an exponential attractor in $H^1\big(\mathbb{R}^N\big)$, which contains a global attractor. We also estimate from above fractal dimension of the attractors.
• Object availability:
  free access
• Rights: https://creativecommons.org/licenses/by-nd/4.0 ;
  Prawa autorskie (c) 2023 Jan W. Cholewa, Radosław Czaja
• Date:
  2023.12.31
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 62, No 2 (December 2023); 485 - 508;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/47717/37296 ;https://apcz.umk.pl/TMNA/article/view/47717/37297
• Subject:
  Fractal dimension;
  initial value problems for higher order parabolic equations;
  semilinear parabolic equations;
  exponential attractors;
  Primary: 37L30;
  Secondary: 35K30, 35K58, 35B41
• Identifier: https://apcz.umk.pl/TMNA/article/view/47717
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other