| Contents |
| In this talk, we consider the Cauchy problem of a parabolic-elliptic system of chemotaxis in two dimensions, which is a simplified version of chemotaxis system derived from the original Keller-Segel model. The total mass of the nonnegative solutions to the Cauchy problem is conserved,
and the global existence and large-time behavior of the solutions heavily depend on the total mass of the initial data. We focus on the critical mass case and discuss the global exitence of nonnegative solutions in time. |
|