hal-00585231, version 2

Convergence to a propagating front in a degenerate Fisher-KPP equation with advection

Matthieu Alfaro () ¹, Elisabeth Logak () ²

Journal of Mathematical Analysis and applications (2012) 387 (2012), 251-266.

• 1:  Institut de Mathématiques et de Modélisation de Montpellier (I3M)
• http://www.math.univ-montp2.fr/
  CNRS : UMR5149 – Université Montpellier II - Sciences et techniques Case Courrier 051 Place Eugène Bataillon 34095 MONTPELLIER CEDEX 5 France
• 2:  Laboratoire d'Analyse, Géométrie et Modélisation (AGM)
• http://www.u-cergy.fr/rech/agm
  CNRS : UMR8088 – Université de Cergy Pontoise France

Available versions :  v1 (2011-04-12) v2 (2011-04-19)

Bibliographic reference

• Type of document: Articles in peer-reviewed journal
• Subject: Mathematics/Analysis of PDEs
• Title: Convergence to a propagating front in a degenerate Fisher-KPP equation with advection
• Abstract: We consider a Fisher-KPP equation with density-dependent diffusion and advection, arising from a chemotaxis-growth model. We study its behavior as a small parameter, related to the thickness of a diffuse interface, tends to zero. We analyze, for small times, the emergence of transition layers induced by a balance between reaction and drift effects. Then we investigate the propagation of the layers. Convergence to a free-boundary limit problem is proved and a sharp estimate of the thickness of the layers is provided.
• Fulltext language: English
• Journal: Journal of Mathematical Analysis and applications
• Audience: international
• Publication date: 2012
• Page, identifiant, ...: 387 (2012), 251-266.

Attached file list to this document: 

• hal-00585231, version 2
• http://hal.archives-ouvertes.fr/hal-00585231
• oai:hal.archives-ouvertes.fr:hal-00585231
• From: Matthieu Alfaro <>
• Submitted on: Tuesday, 19 April 2011 10:47:22
• Updated on: Tuesday, 5 February 2013 15:29:33