| Abstract: |
| This talk discusses possible points of blow-up in a chemotaxis system with spatially heterogeneous logistic term in two-dimensional smoothly bounded domains under the Neumann boundary conditions and initial conditions. About this problem, a property of possible blow-up points is recently studied; in the parabolic-elliptic setting, it was shown that finite-time blow-up of the classical solution can only occur in points where a coefficient is zero. In this talk we give a recent development of a result about a property of blow-up points in the system in the parabolic-parabolic setting. This is a joint work with Dr. Mario Fuest (Leibniz University Hannover) and Professor Johannes Lankeit (Leibniz University Hannover). |
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