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My research is part of a joint EPSRC funded project between the University of Glasgow and the University of Strathclyde in collaboration with Professor Nigel Mottram (https://www.gla.ac.uk/schools/mathematicsstatistics/staff/nigelmottram) and Professor Stephen Wilson (https://www.strath.ac.uk/staff/wilsonstephenprof/).
In a broad sense, my research focuses on using continuum theory to study materials called nematic liquid crystals, which are most well-known for their application in liquid crystal displays (LCDs). Nematic liquid crystals are anisotropic fluids that possess intrinsic molecular orientational ordering, polarisation, and bulk viscoelastic properties that allow for a range of fascinating and industrially useful behaviours. Previously, I have published papers on the mathematical modelling and analysis of problems related to manufacturing methods used for LCDs. The main focus of my current research is understanding nematic liquid crystal systems that contain an air-nematic interface, which is typically called a free surface. I am especially interested in how the mathematical analysis of these systems can be used to develop new applications beyond the LCD industry.
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Young and Young-Laplace equations for a static ridge of nematic liquid crystal, and transitions between equilibrium statesCousins, J. R. L., Duffy, B. R., Wilson, S. K. & Mottram, N. J., 30 Mar 2022, In: Proceedings A: Mathematical, Physical and Engineering Sciences. 478, 2259, 24 p., 20210849.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile2 Downloads (Pure)
Transient flow-driven distortion of a nematic liquid crystal in channel flow with dissipative weak planar anchoringCousins, J. R. L., Wilson, S. K., Mottram, N. J., Wilkes, D. & Weegels, L., 18 Dec 2020, In: Physical Review E. 102, 6, 062703.
Research output: Contribution to journal › Article › peer-reviewOpen AccessFile
Cousins, J., 25 Nov 2021
Student thesis: Doctoral Thesis