| Abstract: |
| W study a zero-flux chemotaxis system with singular sensitivity in a smooth and bounded domain $\Omega$ of $\mathbb{R}^2$. We show the existence of global classical solutions emanating from any regular initial data $u(x,0)$. If additionally $\Omega$ is \textit{convex} and $m:=\int_\Omega u(x,0)$ is sufficiently small, also their boundedness is achieved |
|