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SUMMARY:Branching Brownian motion with decay of mass and the non-local Fis
her-KPP equation - Julien Berestycki (University of Oxford)
DTSTART;VALUE=DATE-TIME:20181105T120000Z
DTEND;VALUE=DATE-TIME:20181105T130000Z
UID:https://talks.ox.ac.uk/talks/id/9ffb5852-ff86-4773-842d-d7849d33538e/
DESCRIPTION:The non-local variant of the celebrated Fisher-KPP equation de
scribes the growth and spread of population in which individuals diffuse\,
reproduce and - crucially - interact through a non-local competition mech
anism. This type of equation is intrinsically harder to study than the cla
ssical Fisher-KPP equation because we lose such powerful tools as the comp
arison principle and the maximum principle. In this talk\, I will show how
this equation arises as the hydrodynamic limit of a particle system -the
branching Brownian motion with decay of mass\, and use this to study front
propagation behaviours.\n\nThis is based on joint work with Louigi Addari
o-Berry and Sarah Penington.\nSpeakers:\nJulien Berestycki (University of
Oxford)
LOCATION:Mathematical Institute (L4)\, Woodstock Road OX2 6GG
URL:https://talks.ox.ac.uk/talks/id/9ffb5852-ff86-4773-842d-d7849d33538e/
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DESCRIPTION:Talk:Branching Brownian motion with decay of mass and the non-
local Fisher-KPP equation - Julien Berestycki (University of Oxford)
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