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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.

eISSN:
1844-0835
Langue:
Anglais
Périodicité:
Volume Open
Sujets de la revue:
Mathematics, General Mathematics