Description

• Title:
  Strong convergence of bi-spatial random attractors for parabolic equations on thin domains with rough noise
• Creator:
  Li, Fuzhi;
  Li, Yangrong;
  Wang, Renhai
• Description:
  This article concerns bi-spatial random dynamics for the stochastic reaction-diffusion equation on a thin domain, where the noise is described by a general stochastic process instead of the usual Wiener process. A bi-spatial attractor is obtained when the non-initial state space is the p-times Lebesgue space, meanwhile, measurability of the attractor in the Banach space is proved by using measurability of both cocycle and absorbing set. Finally, the $p$-norm convergence of attractors is obtained when the thin domain collapses onto a lower dimensional domain. The method of symbolical truncation is applied to provide some uniformly asymptotic estimates.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2019 Topological Methods in Nonlinear Analysis
• Date:
  2019.05.10
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 53, No 2 (June 2019); 659 - 682;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.015/17517 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2019.015/17518
• Subject:
  Bi-spatial random attractor;
  stochastic reaction-diffusion equation;
  rough noise;
  thin domain;
  strong semi-continuity;
  regularity;
  symbolical truncation;
  Primary;
  35B40;
  Secondary;
  37L55;
  60H15
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2019.015
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other