A fast blowup solution to an elliptic-parabolic system related to chemotaxis
A fast blowup solution to an elliptic-parabolic system related to chemotaxis
We consider radial blowup solutions to an elliptic-parabolic system in $N$-dimensional Euclidean space. The system is introduced to describe several phenomena, for example, motion of bacteria by chemotaxis and equilibrium of self-attracting clusters. In the case where $N \geq 3$, we can find positive and radial backward self-similar solutions which …