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Coalescence and breakage processes. (English) Zbl 1074.82534

Summary: We extend a model for coalescence and breakage of liquid-liquid dispersions proposed by Fasano/Rosso. The main feature is that the experimentally observed fact of a maximal droplet mass is taken into account. Our model includes spontaneous breakage as well as collisional fragmentation. Existence and uniqueness of solutions is proved and the long-time behaviour is investigated.

MSC:

82C22 Interacting particle systems in time-dependent statistical mechanics
45K05 Integro-partial differential equations
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