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Large time asymptotics for a modified coagulation model |
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| Authors: | J. Calvo P.-E. Jabin |
| Affiliation: | a Departamento de Matemática Aplicada, Avda. Fuentenueva s/n, Facultad de Ciencias, Universidad de Granada, 18071 Granada, Spain b Lab. Dieudonné, Univ. Nice-Sophia Antipolis, Parc Valrose, F-06108 Nice Cedex 02, France c EPI Tosca, Inria Sophia-Antipolis, 2004 route des Lucioles, BP 93, 06902 Sophia Antipolis, France |
| Abstract: | We study the large time asymptotics of a simplified two species model for particles (typically molecules or cells). The particles can be in two states: A “free” state where they simply move with a given velocity or an aggregated state where they do not move anymore. We show that depending only on the strength of the interaction between particles, either all of them eventually coagulate or some may escape. |
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