Description

• Title:
  The trajectory attractor and its limiting behavior for the convective Brinkman-Forchheimer equations
• Creator:
  Zhao, Caidi;
  Kong, Lei;
  Liu, Guowei;
  Zhao, Min
• Description:
  This paper studies the trajectory behavior of the convective Brinkman-Forchheimer equations in three-dimensional (3D) bounded domains. We first prove the existence of the trajectory attractor ${\mathcal A}^{\rm tr}_\alpha$ for the natural translation semigroup in the trajectory space. Then we establish that the trajectory attractor $\mathcal{A}^{\rm tr}_\alpha$ converges, as $\alpha\rightarrow 0^+$, to the trajectory attractor $\mathcal{A}^{\rm tr}_0$ of the 3D Navier-Stokes equations in a proper topological space.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2016.04.12
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 44, No 2 (December 2014); 413 - 433;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.054/8171
• Subject:
  Convective Brinkman-Forchheimer equations;
  trajectory attractor;
  Navier-Stokes equations;
  topological space;
  35B40;
  35Q30;
  35G25
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2014.054
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other