Description

• Title:
  Existence, uniqueness and decay estimates on mild solution to a fractional chemotaxis-fluid system
• Creator:
  Jiang, Kerui;
  Ling, Zhi;
  Liu, Zuhan;
  Zhou, Ling
• Description:
  We investigate a fractional chemotaxis system coupled with the Navier-Stokes fluid in the whole space $\mathbb{R}^{N}$ with $N\geq 3$. With the help an appropriate functional space, we develop a framework for a \textit{unified} treatment of the existence, uniqueness and decay estimates of global mild solutions to this problem under the assumption that initial data are small enough.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2021 Topological Methods in Nonlinear Analysis
• Date:
  2021.02.10
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 57, No 1 (March 2021); 25 - 56;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2020.029/28170 ;https://apcz.umk.pl/TMNA/article/view/TMNA.2020.029/28171
• Subject:
  Fractional chemotaxis;
  fractional Navier-Stokes;
  global mild solution;
  decay estimates;
  Primary;
  35A01;
  35B40;
  35Q35;
  Secondary;
  35Q92;
  92C17
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2020.029
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other