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SUMMARY:Moments estimates for the discrete coagulation-fragmentation equat
 ions with diffusion - Maxime Breden\, ENS Paris-Saclay &amp\; Université 
 Laval
DTSTART:20170612T141000Z
DTEND:20170612T151000Z
UID:TALK72707@talks.cam.ac.uk
CONTACT:Ariane Trescases
DESCRIPTION:Coagulation-fragmentation equations can be used to study a wid
 e range\nof phenomena\, ranging from blood coagulation and polymer formati
 on to\ngalaxy formation. The (discrete) model consists in an infinite syst
 em of\nreaction-diffusion equations\, each equation describing the evoluti
 on of the\nconcentration of clusters of a given size/mass. While the spati
 ally homogeneous\ncase has been studied extensively\, there are fewer math
 ematical\nresults available when spatial inhomogeneity is taken into accou
 nt.\nIn this talk I will explain how the so called "duality lemma" can be 
 used\nin this context\, to get estimates on the moments of the solution\, 
 leading to\nregularity results. This is joint work with L. Desvillettes an
 d K. Fellner. I\nwill also show how these estimates can be used to study t
 he gelation issue\,\nand prove that strong enough fragmentation can ensure
  mass conservation\neven for superlinear coagulation coefficients.
LOCATION:CMS\, MR13
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