A stochastic min-driven coalescence process and its hydrodynamical limit

Duration: 43 mins 37 secs
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Description: Laurencot, P (Université Paul Sabatier Toulouse III)
Tuesday 26 October 2010, 15:00-15:55
 
Created: 2010-10-27 13:04
Collection: Partial Differential Equations in Kinetic Theories
Publisher: Isaac Newton Institute
Copyright: Laurencot, P
Language: eng (English)
Credits:
Author:  Laurencot, P
Producer:  Steve Greenham
 
Abstract: A stochastic system of particles is considered in which the sizes of the particles increase by successive binary mergers with the constraint that each coagulation event involves a particle with minimal size. Convergence of a suitably renormalised version of this process to a deterministic hydrodynamical limit is shown and the time evolution of the minimal size is studied for both deterministic and stochastic models. (joint work with Anne-Laure Basdevant (Paris X), James R. Norris (Cambridge), Cl\'ement Rau (Toulouse))
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