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Abstract
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In this talk, I will present some mathematical results for a coagulation-fragmentation model used to study animal group-size statistics. There is no detailed balance for this coagulation-fragmentation model and hence the current mathematical theory can not be used to study this problem. Based on the complete Bernstein function theory, we establish the global existence, convergence to the steady solution, and completely monotonicity property of the steady solution for this coagulation-fragmentation model.
This is a joint work with Pierre Degond and Bob Pego.
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