# Apala Majumdar

## Profile

I am a Reader in Applied Mathematics and EPSRC Career Acceleration Fellow at the Department of Mathematical Sciences, University of Bath.

I hold a MSci degree in Mathematics and Physics and a doctorate in applied mathematics from the University of Bristol, UK. My research has been supported by independent research fellowships: the Royal Commission for the Exhibition of 1851 fellowship (2006-2008, University of Oxford), Oxford Centre for Collaborative Applied Mathematics research fellowship (2008-2011, University of Oxford) and EPSRC Career Acceleration Fellowship (2011 - present).

I, broadly speaking, work on mathematical modelling in materials science and industrial applied mathematics. My research programme intersects different areas of mathematics such as continuum mechanics, calculus of variations, analysis and scientific computation and the main areas of work are : mathematical foundations of liquid crystal theory, theory of defects in condensed matter systems and modelling of liquid crystal displays in collaboration with industry. More generally, I also works on variational problems in related areas e.g. nonlinear elasticity, colloidal systems and nanoparticle systems. My work is interdisciplinary in nature and I actively collaborate with theoretical physicists and chemists in Europe and North America.

I am a member of the Centre for Nonlinear Mechanics at the University of Bath, which is an interdisciplinary research center with members from across the Faculty of Science in Bath and other British universities.

### Publications

Crespo, M., Majumdar, A., Ramos, A.M. and Griffiths, I.M., 2017. Solution landscapes in nematic microfluidics. *Physica D: Nonlinear Phenomena*, 351-352, pp. 1-13.

Chen, G. Q., Majumdar, A., Wang, D. and Zhang, R., 2017. Global existence and regularity of solutions for active liquid crystals. *Journal of Differential Equations*, 263 (1), pp. 202-239.

Lewis, A.H., Aarts, D.G.A.L., Howell, P.D. and Majumdar, A., 2017. Nematic Equilibria on a Two-Dimensional Annulus. *Studies in Applied Mathematics*, 138 (4), pp. 438-466.

Majumdar, A., Henao, D. and Pisante, A., 2017. *Uniaxial versus biaxial character of nematic equilibria in three dimensions.* [Non-academic press]

Robinson, M., Luo, C., Farrell, P. E., Erban, R. and Majumdar, A., 2017. From molecular to continuum modelling of bistable liquid crystal devices. *Liquid Crystals*

Canevari, G., Majumdar, A. and Spicer, A., 2017. Order reconstruction for nematics on squares and hexagons:a Landau-de Gennes study. *SIAM Journal on Applied Mathematics*, 77 (1), pp. 267-293.

Majumdar, A. and Lewis, A., 2016. Multistable nematic wells:modelling perspectives, recent results and new directions. *Liquid Crystals*

Majumdar, A., Milewski, P. A. and Spicer, A., 2016. Front Propagation at the Nematic-Isotropic Transition Temperature. *SIAM Journal on Applied Mathematics*, 76 (4), pp. 1296-1320.

Canevari, G., Ramaswamy, M. and Majumdar, A., 2016. Radial symmetry on three-dimensional shells in the Landau-de Gennes theory. *Physica D: Nonlinear Phenomena*, 314, pp. 18-34.

Kusumaatmaja, H. and Majumdar, A., 2015. Free energy pathways of a multistable liquid crystal device. *Soft Matter*, 11 (24), pp. 4809-4817.

Majumdar, A. and Raisch, A., 2014. Stability of twisted rods, helices and buckling solutions in three dimensions. *Nonlinearity*, 27 (12), pp. 2841-2867.

Majumdar, A., Marchetti, M. C. and Virga, E. G., 2014. Perspectives in active liquid crystals. *Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences*, 372 (2029), 20130373.

Lewis, A., Garlea, I., Alvarado, J., Dammone, O., Howell, P., Majumdar, A., Mulder, B., Lettinga, M. P., Koenderink, G. and Aarts, D., 2014. Colloidal liquid crystals in rectangular confinement:Theory and experiment. *Soft Matter*, 39 (10), pp. 7865-7873.

Kralj, S. and Majumdar, A., 2014. Order reconstruction patterns in nematic liquid crystal wells. *Proceedings of the Royal Society of London Series A - Mathematical Physical and Engineering Sciences*, 470 (2169), 20140276.

Raisch, A. and Majumdar, A., 2014. Order reconstruction phenomena and temperature-driven dynamics in a 3D zenithally bistable device. *EPL (Europhysics Letters)*, 107 (1), 16002.

Majumdar, A., Ockendon, J., Howell, P. and Surovyatkina, E., 2013. Transitions through critical temperatures in nematic liquid crystals. *Physical Review E*, 88 (2), 022501.

Majumdar, A. and Goriely, A., 2013. Static and dynamic stability results for a class of three-dimensional configurations of Kirchhoff elastic rods. *Physica D: Nonlinear Phenomena*, 253, pp. 91-101.

Majumdar, A., 2012. The Landau-de Gennes theory for nematic liquid crystals:uniaxiality versus biaxiality. *Communications in Pure and Applied Analysis*, 11 (3), pp. 1303-1337.

Giomi, L., Bowick, M. J., Ma, X. and Majumdar, A., 2012. Molecular tilt on monolayer-protected nanoparticles. *EPL (Europhysics Letters)*, 97 (3), 36005.

Majumdar, A., 2012. The radial-hedgehog solution in Landau – de Gennes’ theory for nematic liquid crystals. *European Journal of Applied Mathematics*, 23 (01), pp. 61-97.

Majumdar, A., Prior, C. and Goriely, A., 2012. Stability estimates for a twisted rod under terminal loads:a three-dimensional study. *Journal of Elasticity*, 109 (1), pp. 75-93.

Henao, D. and Majumdar, A., 2012. Symmetry of uniaxial global Landau-de Gennes minimizers in the theory of nematic liquid crystals. *SIAM Journal on Mathematical Analysis (SIMA)*, 44 (5), pp. 3217-3241.

Majumdar, A., Robbins, J. M. and Zyskin, M., 2011. Tangent unit-vector fields:Nonabelian homotopy invariants and the dirichlet energy. *Acta Mathematica Scientia*, 30 (5), pp. 1357-1399.

Majumdar, A., 2011. Order parameters in the Landau–de Gennes theory:the static and dynamic scenarios. *Liquid Crystals*, 38 (2), pp. 169-181.

Peppin, S., Majumdar, A., Style, R. and Sander, G., 2011. Frost heave in colloidal soils. *SIAM Journal on Applied Mathematics*, 71 (5), pp. 1717-1732.

Majumdar, A. and Zarnescu, A., 2010. Landau–de Gennes theory of nematic liquid crystals: the Oseen–Frank limit and beyond. *Archive for Rational Mechanics and Analysis*, 196 (1), pp. 227-280.

Majumdar, A., 2010. Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory. *European Journal of Applied Mathematics*, 21 (2), pp. 181-203.

Peppin, S. S. L., Majumdar, A. and Wettlaufer, J. S., 2010. Morphological instability of a non-equilibrium ice-colloid interface. *Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences*, 466 (2113), pp. 177-194.

Majumdar, A., Robbins, J. and Zyskin, M., 2009. Tangent unit-vector fields:Nonabelian homotopy invariants and the Dirichlet energy. *Comptes Rendus Mathematique*, 347 (19-20), pp. 1159-1164.

Majumdar, A., Robbins, J. M. and Zyskin, M., 2008. Energies of S2-valued harmonic maps on polyhedra with tangent boundary conditions. *Annales de l'Institut Henri Poincaré (C) Analyse Non Linéaire*, 25 (1), pp. 77-103.