Description

• Title:
  A modified Swift-Hohenberg equation
• Creator:
  Kania, Maria B.
• Description:
  We consider the initial-boundary value problem for a modified Swift-Hohenberg equation in space dimension $n\leq 7 $. Based on the semigroup theory, we formulate this problem as an abstract evolutionary equation with sectorial operator in the main part. We show that the semigroup generated by this problem admits a global attractor in the phase space $H^2(\Omega)\cap H^{1}_{0}(\Omega)$ and characterize the contents of the attractor.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2011.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 37, No 1 (March 2011); 165 - 176;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2011.008/8398
• Subject:
  Swift-Hohenberg equation;
  global attractor;
  35B41;
  35K90
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2011.008
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other