MiS Preprint Repository

We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV ( that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint

Simultaneous Blowup and Mass Separation During Collapse in an Interacting System of Chemotactic Species

Elio Eduardo Espejo, Angela Stevens and Takashi Suzuki


We study an interacting system of chemotactic species in two-space dimensions. First, we show that there is a parameter region which ensures simultaneous blowup also for non-radially symmetric solutions. If the existence time of the solution is finite, there is a formation of collapse (possibly degenerate) for each component, total mass quantization, and formation of subcollapses. For radially symmetric solutions we can rigorously prove that the collapse concentrates mass on one component if the total masses of the other components are relatively small. Several related results are also shown.


Related publications

2012 Repository Open Access
Elio Eduardo Espejo Arenas, Angela Stevens and Takashi Suzuki

Simultaneous blowup and mass separation during collapse in an interacting system of chemotactic species

In: Differential and integral equations, 25 (2012) 3/4, pp. 251-288