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SUMMARY:Defects in positional and orientational order on surfaces and thei
 r potential influence on shape - Axel Voigt (Technische Universität Dresd
 en)
DTSTART:20170921T141000Z
DTEND:20170921T143000Z
UID:TALK80491@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:<span>Co-authors: Sebastian Reuther		(TU Dresden)\, Sebastian 
 Aland		(HTW Dresden)\, Ingo Nitschke		(TU Dresden)\, Simon Praetorius		(TU
  Dresden)\, Michael Nestler		(TU Dresden)        <br></span><br>We conside
 r continuum models for positional and orientational order on curved surfac
 es. They include surface phase field crystal models in the first case [4\,
 6] and surface Navier-Stokes [2\,3\,5]\, surface Frank-Oseen [1] and surfa
 ce Landau-deGenne models for the second case. We demonstrate the emergence
  of topological defects in these models and show the strong interplay betw
 een topology\, geometry\, dynamics and defect type and position. We commen
 t on the derivation of these models and their numerical solution. To coupl
 e these surface models with an evolution equation for the shape of the sur
 face is work in progress and leads to defect mediated morphologies [6]. <b
 r><span><br>[1] M. Nestler\, I. Nitschke\, S. Praetorius\, A. Voigt: Orien
 tational order on surfaces - the coupling of topology\, geometry and dynam
 ics. Journal of Nonlinear Science DOI:10.1007/s00332-017-9405-2 [2] I. Nit
 schke\, S. Reuther\, A. Voigt: Discrete exterior calculus (DEC) for the su
 rface Navier-Stokes equation. In Transport Processes at Fluidic Interfaces
 . Birkh&auml\;user\, Eds. D. Bothe\, A.Reusken\, (2017)\, 177 - 197 [3] S.
  Reuther\, A. Voigt: The interplay of curvature and vortices in flow on cu
 rved surfaces. Multiscale Model. Simul.\, 13 (2)\, (2015)\, 632-643 [4] V.
  Schmid\, A. Voigt: Crystalline order and topological charges on capillary
  bridges. Soft Matter\, 10 (26)\, (2014)\, 4694-4699 [5] I. Nitschke\, A. 
 Voigt\, J. Wensch: A finite element approach to incomressible two-phase fl
 ow on manifolds. J. Fluid Mech.\, 708 (2012)\, 418-438 [6] S. Aland\, A. R
 &auml\;tz\, M. R&ouml\;ger\, A. Voigt: Buckling instability of viral capsi
 des - a continuum approach. Multiscale Model. Simul.\, 10 (2012)\, 82-110<
 /span>
LOCATION:Seminar Room 1\, Newton Institute
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