Apala Majumdar : University of Bath.

Mathematics Colloquium Talk 2.

Speaker: Apala Majumdar.

Affiliation: University of Bath.

Date and Time: Wednesday 10 July, 4:30 pm - 5:30 pm.

Venue: Room 216, Department of Mathematics.

Title: Solution Landscapes in the Landau-de Gennes Theory for Nematic
Liquid Crystals.

Abstract: Nematic liquid crystals are quintessential examples of soft
matter, intermediate in character between solids and liquids, with
long-range orientational order. We model spatio-temporal pattern formation
for nematic liquid crystals on two-dimensional polygonal geometries, which
are relevant for applications. We work within the powerful continuum
Landau-de Gennes theory for nematic liquid crystals. We illustrate the
complex solution landscapes on square domains as a function of the square
size, temperature and boundary conditions, reporting a novel Well Order
Reconstruction Solution on nnao-scale geometries. We discuss
generalizations to arbitrary 2D polygons, using symmetry-based and
variational techniques to study stable patterns in distinguished
asymptotic limits. We conclude by reviewing recent work on stabilization
of interior vortices by magneto-nematic coupling in ferronematics, which
leads to new possibilities for magneto-mechanical effects in nematic-based
materials. This is joint work with researchers in Peking University,
Shanghai Jiao Tong, IIT Delhi, IIT Bombay, Illinois Technological
University and University of Verona.
Room No. 216 Department of Mathematics
Wed, July 10, 2019
Start Time
4:30pm-5:30pm IST
1 hour
Created by
Mon, July 8, 2019 12:50pm IST