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CATEGORIES:SIAM-IMA Cambridge Student Chapter
SUMMARY:An Anisotropic Interaction Model for Simulating Fi
ngerprints - Lisa Maria Kreusser (University of Ca
mbridge)
DTSTART;TZID=Europe/London:20190502T163000
DTEND;TZID=Europe/London:20190502T164500
UID:TALK123913AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/123913
DESCRIPTION:Motivated by the formation of fingerprint patterns
we consider\na class of interaction models with a
nisotropic interaction forces whose\norientations
depend on an underlying tensor field. This class o
f models\ncan be regarded as a generalization of a
gradient flow of a nonlocal\ninteraction potentia
l which has a local repulsion and a long-range\nat
traction structure. In contrast to isotropic inter
action models the\nanisotropic forces in our class
of models cannot be derived from a\npotential. Th
e underlying tensor field introduces an anisotropy
leading\nto complex patterns which do not occur i
n isotropic models. This\nanisotropy is characteri
zed by one parameter in the model. We study the\nv
ariation of this parameter\, describing the transi
tion between the\nisotropic and the anisotropic mo
del\, analytically and numerically. We\nanalyze th
e steady states and their stability by considering
the\nparticle model and the associated mean-field
equations. Besides\, we\npropose a bio-inspired m
odel to simulate fingerprint patterns as\nstationa
ry solutions by choosing the underlying tensor fie
ld appropriately.
LOCATION:Centre for Mathematical Sciences\, MR2
CONTACT:Ferdia Sherry
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