The purpose of this project is to apply a formulation to polymeric turbulent boundary layer flows and, in this way, to make some first, yet decisive, steps in the physics and algorithmics of fully-coupled polymeric boundary layer turbulence.

The project aim is to investigate particle-flow interactions in ferrofluids in both mesoscopic and macroscopic domains, paying equal emphasis on particle aggregation and structure formation and their possible effects on turbulence structures in flows through pipes and other devices.

This project will combine recent theories for the influence of charge correlations on the structure of the electric double layer with a simple quantum description of charge transfer to to develop a new model for electrochemical reactions.

This ambitious project attempts to build a single, unified description of complex fluids that incorporates molecular-level detail but can be applied on a wide range of length and time scales that extends to the continuum scale.

This project will develop effective solvers for linear systems in these RBF methods. In particular, we will focus on certain iterative methods (Krylov subspace methods) that start with an initial guess of the solution that is improved at each step.

The proposed project will use a variety of analytical and numerical methods to bring new understanding into a range of real-world problems involving thin films of both simple and complex fluids.

The underlying mathematical model in this case is Maxwell’s equations - according to applications it can take two different forms (time-domain and time-harmonic).

In recent years there has been an explosive growth of interest in the behaviour and control of fluids at small (typically sub-millimetre) scales motivated by a range of novel applications including ink-jet printing and lab-on-a-chip technologies.

Matrix balancing aims to transform a nonnegative matrix A by a diagonal scaling by matrices D and E so that P = DAE has prescribed row and column sums. Historical motivation for achieving the balance has included interpreting economic data, preconditioning sparse matrices and understanding traffic circulation.

This project will use the theories of liquid crystal fluids to model self-organisation and pattern formation in an active fluid - a type of liquid containing active organisms which interact with the fluid by swimming.

This project will use mathematical models of soil water and the growth of plants. Even for plants with complicated root densities we will look for analytical solutions of the models to help understand plant growth.

The aims of this PhD is to develop the truncated EM method are to study the strong convergence in finite-time for SDEs under the generalised Khasminskii condition and its convergence rate and to investigate the numerical stability of the nonlinear SDEs.

This project is to perform the stochastic and numerical analysis on the stock market linked savings accounts in order to establish the theory on the mean percentage of return (MPR).

Time dependent wave propagation and scattering is important in acoustics, electromagnetics and seismology.

Liquid crystals are at the heart of many cutting-edge technologies. Their potential is far from being exhausted as new areas of application emerge constantly. This project will focus on fundamental aspects in the domain of wetting and microfluidics of liquid crystal droplets.