Differential and Integral Equations
- Differential Integral Equations
- Volume 25, Number 3/4 (2012), 251-288.
Simultaneous blowup and mass separation during collapse in an interacting system of chemotactic species
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.
Differential Integral Equations, Volume 25, Number 3/4 (2012), 251-288.
First available in Project Euclid: 20 December 2012
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Espejo, Elio Eduardo; Stevens, Angela; Suzuki, Takashi. Simultaneous blowup and mass separation during collapse in an interacting system of chemotactic species. Differential Integral Equations 25 (2012), no. 3/4, 251--288. https://projecteuclid.org/euclid.die/1356012736