No photo of Joshua Walton
20152020

Research output per year

If you made any changes in Pure these will be visible here soon.

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

Fingerprint

Dive into the research topics where Joshua Walton is active. These topic labels come from the works of this person. Together they form a unique fingerprint.
  • 8 Similar Profiles

Network

Recent external collaboration on country level. Dive into details by clicking on the dots.
If you made any changes in Pure these will be visible here soon.