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Simultaneous finite time blow-up in a two-species model for chemotaxis
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Elio E. Espejo
Published/Copyright:
September 25, 2009
Abstract
A system of two classical chemotaxis equations, coupled with an elliptic equation for an attractive chemical, is analyzed. Depending on the parameter values for the three respective diffusion coefficients and the two chemotactic sensitivities in the radial symmetric setting, conditions are given for global existence of solutions and finite time blow-up. A question of interest is, whether there exist parameter regimes, where the two chemotactic species differ in their long time behavior. This questions arises in the context of differential chemotactic behavior in early aggregates of Dictyostelium discoideum.
Keywords: Multi-component chemotaxis; finite time blow-up; global solutions; formal blow-up asymptotics
Published Online: 2009-09-25
Published in Print: 2009-10
© by Oldenbourg Wissenschaftsverlag, Heidelberg, Germany
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Keywords for this article
Multi-component chemotaxis;
finite time blow-up;
global solutions;
formal blow-up asymptotics
Articles in the same Issue
- A Navier boundary value problem for Willmore surfaces of revolution
- Remarks on Lines of reversibility for Poincaré´s centre problem
- Low regularity global well-posedness for the two-dimensional Zakharov system
- Wavefront solution in the theory of boiling liquids
- Interface conditions for degenerate two-phase flow equations in one space dimension
- Simultaneous finite time blow-up in a two-species model for chemotaxis
- Erratum: Robert Finn, Thomas I. Vogel
