Blowup and global solutions in a chemotaxis-growth system

  • Kang K
  • Stevens A
  • 6


    Mendeley users who have this article in their library.
  • 7


    Citations of this article.


We study a Keller-Segel type of system, which includes growth and death of the chemotactic species and an elliptic equation for the chemo-attractant. The problem is considered in bounded domains with smooth boundary as well as in the whole space. In case the random motion of the chemotactic species is neglected, a hyperbolic-elliptic problem results, for which we characterize blow-up of solutions in finite time and existence of regular solutions globally in time, in dependence on the systems parameters. In this case, convexity of the domain is needed. For the parabolic-elliptic problem in dimensions three and higher, we establish global existence of regular solutions in a limiting case, which is an extension of the results given by Tello and Winkler (2007).

Author-supplied keywords

  • Blowup
  • Chemotaxis-growth system
  • Global solutions
  • Hyperbolic-elliptic system
  • Parabolic-elliptic system

Get free article suggestions today

Mendeley saves you time finding and organizing research

Sign up here
Already have an account ?Sign in

Find this document

Get full text


  • Kyungkeun Kang

  • Angela Stevens

Cite this document

Choose a citation style from the tabs below

Save time finding and organizing research with Mendeley

Sign up for free