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CATEGORIES:Analysis seminar
SUMMARY:Cross-diffusion and competitive interaction in Pop
ulation dynamics - Ariane Trescases\, University o
f Cambridge
DTSTART:20170523T150000Z
DTEND:20170523T160000Z
UID:TALK2456AT
URL:/talk/index/2456
DESCRIPTION:In Population dynamics\, reaction-cross diffusion
systems model the evolution of populations of comp
eting species with a repulsive effect between indi
viduals. For these strongly coupled nonlinear syst
ems\, a question as basic as the existence of solu
tions appears to be extremely complex. Thanks to a
n approach based on the most recent extensions of
duality lemmas and on entropy methods\, we prove t
he existence of weak solutions in a general settin
g of reaction-cross diffusion systems\, as well as
some qualitative properties of the solutions.
LOCATION:Lecture Theater C\, Watson Building
CONTACT:Dr. Maria Carmen Reguera
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