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SUMMARY:An Anisotropic Interaction Model for Simulating Fingerprints - Lis
 a Maria Kreusser (University of Cambridge)
DTSTART:20190502T153000Z
DTEND:20190502T154500Z
UID:TALK123913@talks.cam.ac.uk
CONTACT:Ferdia Sherry
DESCRIPTION:Motivated by the formation of fingerprint patterns we consider
 \na class of interaction models with anisotropic interaction forces whose\
 norientations depend on an underlying tensor field. This class of models\n
 can be regarded as a generalization of a gradient flow of a nonlocal\ninte
 raction potential which has a local repulsion and a long-range\nattraction
  structure. In contrast to isotropic interaction models the\nanisotropic f
 orces in our class of models cannot be derived from a\npotential. The unde
 rlying tensor field introduces an anisotropy leading\nto complex patterns 
 which do not occur in isotropic models. This\nanisotropy is characterized 
 by one parameter in the model. We study the\nvariation of this parameter\,
  describing the transition between the\nisotropic and the anisotropic mode
 l\, analytically and numerically. We\nanalyze the steady states and their 
 stability by considering the\nparticle model and the associated mean-field
  equations. Besides\, we\npropose a bio-inspired model to simulate fingerp
 rint patterns as\nstationary solutions by choosing the underlying tensor f
 ield appropriately.
LOCATION:Centre for Mathematical Sciences\, MR2
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