Possibility of amoebas' aggregation in finite time

Saïd Hilmi; Chérif Ziti

doi:10.2478/auom-2013-0006

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Possibility of amoebas' aggregation in finite time

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 21 (2013): Issue 1 (March 2013)

By: Saïd Hilmi and Chérif Ziti

Open Access

|Jul 2013

Abstract

The dynamic of amoebas in favorable circumstances is modeled by a nonlinear system of Partial Differential Equations arising in chemotaxis. The competition between different parameters of this system plays a major role in the process of aggregation. Throughout this paper, we prove the existence of self-similar solutions that blow up in finite time in a dimensional space and under specific circumstances depending upon the position of those parameters.

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