Technion - Israel Institute of Technology Department of Mathematics ============================================ PDE AND APPLIED MATHEMATICS SEMINAR ============================================ DATE: Tuesday, 1/11/2011 SPEAKER: Elio Espejo, Technion TITLE: Sharp Condition for blow-up and global existence in a two species chemotactic Keller-Segel system in R^2 and open questions related with simultaneous blow-up PLACE: Room 814, Amado Mathematics Building, Technion TIME: 14:30 ABSTRACT: For the Keller-Segel model, it was conjectured by Childress and Percus that in a two-dimensional domain there exists a critical number C such that if the initial mass is strictly less than C, then the solution exists globally in time and if it is strictly larger than C blowup happens. For different versions of the Keller-Segel model, the conjecture has essentially been proved. The case of several chemotactic species introduces an additional question: What is the analogue for the critical mass obtained for the single species system? In this talk, we discuss for a two-species model for chemotaxis in 2 the conditions on the initial data, which determine blowup or global existence in time. Finally, we will consider the problem of simultaneous and non-simultaneous blow-up for the case of two-species model for chemotaxis. For further info: Yehuda Pinchover <pincho@techunix.technion.ac.il> For past and future Applied Math/PDE seminars: <http://www.math.technion.ac.il/pde/seminar.html> --------------------------------------------------------- Technion Math. Net (TECHMATH) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Yehuda Pinchover <pincho@tx.technion.ac.il>