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March/April 2012 Simultaneous blowup and mass separation during collapse in an interacting system of chemotactic species
Elio Eduardo Espejo, Angela Stevens, Takashi Suzuki
Differential Integral Equations 25(3/4): 251-288 (March/April 2012).

Abstract

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.

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Elio Eduardo Espejo. Angela Stevens. Takashi Suzuki. "Simultaneous blowup and mass separation during collapse in an interacting system of chemotactic species." Differential Integral Equations 25 (3/4) 251 - 288, March/April 2012.

Information

Published: March/April 2012
First available in Project Euclid: 20 December 2012

zbMATH: 1265.35135
MathSciNet: MR2917884

Subjects:
Primary: 35K55 , 92C17

Rights: Copyright © 2012 Khayyam Publishing, Inc.

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Vol.25 • No. 3/4 • March/April 2012
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