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CATEGORIES:Partial Differential Equations seminar
SUMMARY:Recent advances in the study of convergence to equ
ilibrium for the Becker-Doring equations. - Amit E
inav\, TU Wien
DTSTART;TZID=Europe/London:20171114T160000
DTEND;TZID=Europe/London:20171114T170000
UID:TALK95620AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/95620
DESCRIPTION:The Becker-Döring equations are a fundamental set
of equations that describe the kinetics of first o
rder phase transition\, and are applicable to a wi
de variety of phenomena such as crystallisation\,
vapour condensation and aggregation of lipids.\nWh
ile the equations can be traced back to a model fr
om 1935\, a rigorous systematic study of them\, an
d the long time behaviour of their solutions\, onl
y appeared around the 80’s in works by Ball\, Carr
and Penrose.\nIn our talk we will focus on the na
tural setting of the equations where the existence
of\, and convergence to\, a state of equilibrium
have been shown. We will use the so-called entropy
method to find a quantitative estimation for the
rate of this convergence\, and see how this relate
s to the question of a uniform in time bounds of t
he moments of the solution - another new result we
shall discuss.\nThis talk is based on a couple of
papers that are a joint work with José Cañizo and
Bertrand Lods.
LOCATION:CMS\, MR3
CONTACT:Josephine Evans
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