Projects per year
Personal profile
Personal Statement
My reserach interests are in the mathematical modelling of anisotropic liquids, including active fluids and nematic liquid crystals. My current focus is the application of static and dynamic continuum theories to mathematical models for non-active and active nematic liquid crystals in confined regions, and is based on extending the research undertaken during my PhD. Prior to my PhD, I graduated in 2015 with a BSc (Hons) in Mathematics and Physics from Strathclyde.
Research Interests
I am currently interested in a wide range of problems in the mathematical modelling of liquid crystals, including:
- Weak anchoring effects for nematic liquid crystals confined in rectangular regions
- Pressure-driven channel flows of active nematic liquid crystals
- Director orientation and flow of active nematic liquid crystals subject to external orienting fields
- Defect motion in active nematic liquid crystals
- Flow of active fluids confined in two-dimensional geometries
- Optimisation of liquid crystal devices using an Optical Multi-Parameter Analyser
- Wetting effects in nematic liquid crystals
- Confinement of ferronematic liquid crystals
Teaching Interests
Over the course of my PhD, I was involved in assisting/leading tutorials for a large number of classes at various different levels, including:
MM102: Applications of Calculus
MM111: Mathematics 1B
MM112: Mathematics 2B
MM201: Linear Algebra and Differential Equations
MM211: Mathematics 3B
MM215: Mathematics 2D
MM217: Mathematics 2M
MM300: Complex Variables and Integral Transforms
MM302: Differential Equations
Expertise & Capabilities
- Dynamics of Newtonian and non-Newtonian fluids
- Continuum mechanics
- Mathematical models of apolar and polar active fluids
- Ericksen-Leslie theory of nematic liquid crystals
- Numerical solutions of ordinary and partial differential equations
Education/Academic qualification
Doctor of Science, University Of Strathclyde
Award Date: 3 Jul 2020
Bachelor of Science, University Of Strathclyde
Award Date: 6 Jul 2015
Keywords
- active fluids
- liquid crystals
- anisotropic material science
- self-organisation
- mathematical modelling
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Projects
- 1 Finished
-
Doctoral Training Partnership (DTP - University of Strathclyde) | Walton, Joshua
Mottram, N., McKay, G. & Walton, J.
EPSRC (Engineering and Physical Sciences Research Council)
1/10/15 → 20/02/20
Project: Research Studentship - Internally Allocated
Research Output
- 2 Article
-
Pressure-driven changes to spontaneous flow in active nematic liquid crystals
Walton, J., McKay, G., Grinfeld, M. & Mottram, N. J., 4 Aug 2020, In: European Physical Journal E - Soft Matter. 43, 8, 14 p., 51.Research output: Contribution to journal › Article › peer-review
Open AccessFile1 Citation (Scopus)38 Downloads (Pure) -
Nematic liquid crystal director structures in rectangular regions
Walton, J., Mottram, N. J. & McKay, G., 16 Feb 2018, In: Physical Review E. 97, 2, 12 p., 022702.Research output: Contribution to journal › Article › peer-review
Open AccessFile5 Citations (Scopus)75 Downloads (Pure)
Thesis
-
Mathematical modelling of active nematic liquid crystals in confined regions
Author: Walton, J., 20 Feb 2020Supervisor: Mottram, N. (Supervisor) & McKay, G. (Supervisor)
Student thesis: Doctoral Thesis