Large time asymptotics for a modified coagulation model

Juan Calvo , Pierre-Emmanuel Jabin (1, 2)

1 TOSCA - Simuler et calibrer des modèles stochastiques
2 JAD - Laboratoire Jean Alexandre Dieudonné

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.

Domaines: Equations aux dérivées partielles [math.AP]; Analyse classique [math.CA]; Physique mathématique [math-ph]

Juan Calvo, Pierre-Emmanuel Jabin. Large time asymptotics for a modified coagulation model. Journal of Differential Equations, 2011, 250 (6), pp.2807-2837. ⟨10.1016/j.jde.2011.01.021⟩. ⟨hal-00601969⟩