Description

• Title:
  Traveling front solutions in nonlinear diffusion degenerate Fisher-KPP and Nagumo equations via the Conley index
• Creator:
  Adnani, Fatiha El;
  Alaoui, Hamad Talibi
• Description:
  Existence of one dimensional traveling wave solutions $u( x,t)$ $:=\phi ( x-ct) $ at the stationary equilibria, for the nonlinear degenerate reaction-diffusion equation $u_{t}=[K( u)u_{x}]_{x}+F( u) $ is studied, where $K$ is the density coefficient and $F$ is the reactive part. We use the Conley index theory to show that there is a traveling front solutions connecting the critical points of the reaction-diffusion equations. We consider the nonlinear degenerate generalized Fisher-KPP and Nagumo equations.
• Object availability:
  free access
• Rights:
  Prawa autorskie (c) 2016 Topological Methods in Nonlinear Analysis
• Date:
  2010.04.23
• Type:
  info:eu-repo/semantics/article;
  info:eu-repo/semantics/publishedVersion;
  Recenzowany artykuł
• Language:
  English
• Source:
  Topological Methods in Nonlinear Analysis; Vol 35, No 1 (March 2010); 43 - 60;
  1230-3429
• Publisher:
  Nicolaus Copernicus University in Toruń
• Relation: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.003/8433
• Subject:
  Traveling front;
  degenerate nonlinear diffusion;
  Conley index;
  connected simple systems;
  35A18;
  35K57;
  35K65
• Identifier: https://apcz.umk.pl/TMNA/article/view/TMNA.2010.003
• Data provider:
  Akademicka Platforma Czasopism
• Can I use it?:
  seek permission
• Type:
  other