Dr Joseph Cousins

  • Research Associate (Mathematics)

Research interests

I am a Postdoctoral Research Associate working on the EPSRC grant EP/T012501/1: Control of free-surface flow morphologies in anisotropic liquids.

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 with intrinsic molecular orientational ordering, dielectric, and bulk viscoelastic properties that allow various fascinating and industrially valuable 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, 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.

My research was awarded the British Liquid Crystal Society Young Scientist Award in early 2022.

For more about my work on the mathematical modelling and analysis of LCD fabrication: https://stemforbritain.org.uk/stem2022-sissg7rjjh546l7Fdth6y/Finalists/jrlcousins-pos.pdf

For more about my work on nematic liquid crystal systems that contain an air-nematic free surface: https://futurumcareers.com/behind-the-screens-the-crystals-that-flow-like-rain-down-a-windowpane

 

 

Research units

Publications

List by: Type | Date

Jump to: 2022 | 2020 | 2019 | 2018
Number of items: 5.

2022

Cousins, J. R.L. , Duffy, B. R., Wilson, S. K. and Mottram, N. J. (2022) Young and Young–Laplace equations for a static ridge of nematic liquid crystal, and transitions between equilibrium states. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 478(2259), 20210849. (doi: 10.1098/rspa.2021.0849) (PMID:35370444) (PMCID:PMC8966048)

2020

Cousins, J. R. L. , Wilson, S.K., Mottram, N. J. , Wilkes, D. and Weegels, L. (2020) Transient flow-driven distortion of a nematic liquid crystal in channel flow with dissipative weak planar anchoring. Physical Review E, 102(6), 062703. (doi: 10.1103/PhysRevE.102.062703)

Cousins, J. R. L. (2020) TakeAIM 2019: [1 New Notification]. Mathematics Today, 56(5), p. 206.

2019

Cousins, J.R.L. , Wilson, S.K., Mottram, N.J. , Wilkes, D. and Weegels, L. (2019) Squeezing a drop of nematic liquid crystal with strong elasticity effects. Physics of Fluids, 31(8), 083107. (doi: 10.1063/1.5110878)

2018

Cousins, J. R.L. , Wilson, S. K., Mottram, N. J. , Wilkies, D., Weegels, L. and Lin, K. (2018) A Model for the Formation of Mura During the One-Drop-Filling Process. In: 25th International Display Workshop 2018, Nagoya, Japan, 12-14 Dec 2018, pp. 125-127. ISBN 9781510883918

This list was generated on Wed Dec 7 07:27:18 2022 GMT.
Number of items: 5.

Articles

Cousins, J. R.L. , Duffy, B. R., Wilson, S. K. and Mottram, N. J. (2022) Young and Young–Laplace equations for a static ridge of nematic liquid crystal, and transitions between equilibrium states. Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 478(2259), 20210849. (doi: 10.1098/rspa.2021.0849) (PMID:35370444) (PMCID:PMC8966048)

Cousins, J. R. L. , Wilson, S.K., Mottram, N. J. , Wilkes, D. and Weegels, L. (2020) Transient flow-driven distortion of a nematic liquid crystal in channel flow with dissipative weak planar anchoring. Physical Review E, 102(6), 062703. (doi: 10.1103/PhysRevE.102.062703)

Cousins, J. R. L. (2020) TakeAIM 2019: [1 New Notification]. Mathematics Today, 56(5), p. 206.

Cousins, J.R.L. , Wilson, S.K., Mottram, N.J. , Wilkes, D. and Weegels, L. (2019) Squeezing a drop of nematic liquid crystal with strong elasticity effects. Physics of Fluids, 31(8), 083107. (doi: 10.1063/1.5110878)

Conference Proceedings

Cousins, J. R.L. , Wilson, S. K., Mottram, N. J. , Wilkies, D., Weegels, L. and Lin, K. (2018) A Model for the Formation of Mura During the One-Drop-Filling Process. In: 25th International Display Workshop 2018, Nagoya, Japan, 12-14 Dec 2018, pp. 125-127. ISBN 9781510883918

This list was generated on Wed Dec 7 07:27:18 2022 GMT.

Supervision

Joint supervision of Joseph Ijuptil Kwajighu (PhD) Mathematical Modelling of Inactive and Active Liquid Crystals (2021-present) with Professor Nigel Mottram and Dr Katarzyna Kowal.

Teaching

I am currently lecturing 4H/5E Numerical Methods (2022-23) jointly with Professor Radostin Simitev. Any enquiries regarding the course can be made by email.