{
  "id": "0909.2944",
  "version": "v1",
  "published": "2009-09-16T07:57:24.000Z",
  "updated": "2009-09-16T07:57:24.000Z",
  "title": "The Singular Limit of a Chemotaxis-Growth System with General Initial Data",
  "authors": [
    "Matthieu Alfaro"
  ],
  "journal": "Advances in Differential Equations (2006) Adv. Differential Equations 11 (2006), no. 11, 1227--1260",
  "categories": [
    "math.AP"
  ],
  "abstract": "We study the singular limit of a system of partial differential equations which is a model for an aggregation of amoebae subjected to three effects: diffusion, growth and chemotaxis. The limit problem involves motion by mean curvature together with a nonlocal drift term. We consider rather general initial data. We prove a generation of interface property and study the motion of interfaces. We also obtain an optimal estimate of the thickness and the location of the transition layer that develops.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-16T07:57:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "general initial data",
      "singular limit",
      "chemotaxis-growth system",
      "partial differential equations",
      "nonlocal drift term"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.2944A"
    }
  }
}